当前期刊: Journal of Pure and Applied Algebra Go to current issue    加入关注   
显示样式:        排序: IF: - GO 导出
我的关注
我的收藏
您暂时未登录!
登录
  • A note on mediated simplices
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-10-19
    Victoria Powers; Bruce Reznick

    Many homogeneous polynomials that arise in the study of sums of squares and Hilbert's 17th problem are those formed by monomial substitutions into the arithmetic-geometric inequality. In 1989, Reznick [Math. Ann. 283, 431–464] gave a a necessary and sufficient condition for such a form to have a representation as a sum of squares of forms, involving the arrangement of lattice points in the simplex

    更新日期:2020-10-19
  • Complex symplectic structures on Lie algebras
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-10-19
    Giovanni Bazzoni; Marco Freibert; Adela Latorre; Benedict Meinke

    We investigate Lie algebras endowed with a complex symplectic structure and develop a method, called complex symplectic oxidation, to construct certain complex symplectic Lie algebras of dimension 4n+4 from those of dimension 4n. We specialize this construction to the nilpotent case and apply complex symplectic oxidation to obtain all eight-dimensional nilpotent complex symplectic Lie algebras.

    更新日期:2020-10-19
  • Schur–Weyl duality and centers of quantum Schur algebras
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-10-13
    Qiang Fu

    Let Uv(sln) be the quantized enveloping algebra of sln over C(v) and Ωv be the natural representation of Uv(sln), where v is an indeterminate. There is a natural right action of the Hecke algebra Hv(Sr) of the symmetric group Sr on Ωv⊗r, commuting with the action of Uv(sln). It is well known that the natural algebra homomorphisms ζr:Uv(sln)→Sv(n,r) and ηr:Hv(Sr)op→EndUv(sln)(Ωv⊗r) are surjective, where

    更新日期:2020-10-17
  • Algebraic cycles and Gushel–Mukai fivefolds
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-10-08
    Robert Laterveer

    We show that Gushel–Mukai fivefolds admit a multiplicative Chow–Künneth decomposition, in the sense of Shen–Vial. As a consequence, a certain tautological subring of the Chow ring of powers of these varieties injects into cohomology.

    更新日期:2020-10-17
  • On the rational relationships among pseudo-roots of a non-commutative polynomial
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-10-16
    Vladimir Retakh; Michael Saks

    For a non-commutative ring R, we consider factorizations of polynomials in R[t] where t is a central variable. A pseudo-root of a polynomial p(t)=p0+p1t+⋯pktk is an element ξ∈R, for which there exist polynomials q1,q2 such that p=q1(t−ξ)q2. We investigate the rational relationships that hold among the pseudo-roots of p(t) by using the diamond operations for cover graphs of modular lattices. When R

    更新日期:2020-10-17
  • Equivariant coinvariant rings, Bott–Samelson rings and Watanabe's bold conjecture
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-08-25
    Chris McDaniel; Larry Smith

    Modeled on work of Bott–Samelson, Soergel, and Elias–Williamson we introduce the Bott–Samelson ring BS‾(s1,s2,…,sk) associated to reflections s1,s2,…,sk∈GL(n,F) where F is a field. We show that for semisimple reflections it is a complete intersection algebra with a triangular pattern of relations and has the strong Lefschetz property. For a finite nonmodular reflection group generated by reflections

    更新日期:2020-10-16
  • The hyperconnected maps that are local
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-10-13
    Matías Menni

    A level j:Ej→E of a topos E is said to have monic skeleta if, for every X in E, the counit j!(j⁎X)→X is monic. For instance, the centre of a hyperconnected geometric morphism is such a level. We establish two related sufficient conditions for an adjunction to extend to a level with monic skeleta. As an application, we characterize the hyperconnected geometric morphisms that are local providing an interesting

    更新日期:2020-10-16
  • FI-modules over preadditive categories and torsion theories
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-10-12
    Abhishek Banerjee

    We work with FI-modules over a small preadditive category R, viewed as a ring with several objects. Our aim is to study torsion theories for FI-modules. We are especially interested in torsion theories on finitely generated FI-modules and the category of what we call “shift finitely generated” FI-modules. We also apply these methods to study inductive descriptions of FI-modules over R.

    更新日期:2020-10-16
  • Existence of Kirillov–Reshetikhin crystals for near adjoint nodes in exceptional types
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-10-13
    Katsuyuki Naoi; Travis Scrimshaw

    We prove that, in types E6,7,8(1), F4(1) and E6(2), every Kirillov–Reshetikhin module associated with the node adjacent to the adjoint one (near adjoint node) has a crystal pseudobase, by applying the criterion introduced by Kang et al. In order to apply the criterion, we need to prove some statements concerning values of a bilinear form. We achieve this by using the global bases of extremal weight

    更新日期:2020-10-16
  • Trace decategorification of tensor product algebras
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-10-13
    Christopher Leonard; Michael Reeks

    We show that in ADE type the trace of Webster's categorification of a tensor product of irreducibles for the quantum group is isomorphic to a tensor product of Weyl modules for the current algebra U˙(g[t]). This extends a result of Beliakova, Habiro, Lauda, and Webster who showed that the trace of the categorified quantum group U˙⁎(g) is isomorphic to U˙(g[t]), and the trace of a cyclotomic quotient

    更新日期:2020-10-16
  • Self-injective von Neumann regular rings and Köthe's conjecture
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-10-12
    Peter Kálnai; Jan Žemlička

    One of the many equivalent formulation of the Köthe's conjecture is the assertion that there exists no unital ring which contains two nil right ideals whose sum is not nil. We discuss several consequences of an observation that if the Koethe conjecture fails then there exists a counterexample in the form of a countable local subring of a suitable self-injective prime von Neumann regular unital ring

    更新日期:2020-10-16
  • Associated primes and integral closure of Noetherian rings
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-10-09
    Antoni Rangachev

    Let A be a Noetherian ring and B be a finitely generated A-algebra. Denote by A‾ the integral closure of A in B. We give necessary and sufficient conditions for prime ideals to be in AssA(B/A‾) and AssA‾(B/A‾) generalizing and strengthening classical results for rings of special type.

    更新日期:2020-10-16
  • Schofield sequences in the Euclidean case
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-10-10
    Csaba Szántó; István Szöllősi

    Let k be a field and consider the path algebra kQ of the quiver Q. A pair of indecomposable kQ-modules (Y,X) is called an orthogonal exceptional pair if the modules are exceptional and Hom(X,Y)=Hom(Y,X)=Ext1(X,Y)=0. Denote by F(X,Y) the full subcategory of objects having a filtration with factors X and Y. By a theorem of Schofield if Z is exceptional but not simple, then Z∈F(X,Y) for some orthogonal

    更新日期:2020-10-16
  • Computing period integrals of rigid double octic Calabi-Yau threefolds with Picard-Fuchs operator
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-10-09
    Tymoteusz Chmiel

    We present a method for numerical computation of period integrals of a rigid Calabi-Yau threefold using Picard-Fuchs operator of a one-parameter smoothing. Our method gives a possibility of computing the lattice of period integrals of a rigid double octic without any explicit knowledge of its geometric properties, employing only simple facts from the theory of Fuchsian equations and computations in

    更新日期:2020-10-16
  • Classification of higher wide subcategories for higher Auslander algebras of type A
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-10-09
    Martin Herschend; Peter Jørgensen

    A subcategory W of an abelian category is called wide if it is closed under kernels, cokernels, and extensions. Wide subcategories are of interest in representation theory because of their links to other homological and combinatorial objects, established among others by Ingalls–Thomas and Marks–Šťovíček. If d⩾1 is an integer, then Jasso introduced the notion of d-abelian categories, where kernels,

    更新日期:2020-10-16
  • Gerstenhaber brackets on Hochschild cohomology of general twisted tensor products
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-10-14
    Tekin Karadağ; Dustin McPhate; Pablo S. Ocal; Tolulope Oke; Sarah Witherspoon

    We present techniques for computing Gerstenhaber brackets on Hochschild cohomology of general twisted tensor product algebras. These techniques involve twisted tensor product resolutions and are based on recent results on Gerstenhaber brackets expressed on arbitrary bimodule resolutions.

    更新日期:2020-10-15
  • A Quadratic Form Approach to Construction A of Lattices over Cyclic Algebras
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-10-14
    Grégory Berhuy; Frédérique Oggier

    We propose a construction of lattices from (skew-) polynomial codes, by endowing quotients of some ideals in both number fields and cyclic algebras with a suitable trace form. We give criteria for unimodularity. This yields integral and unimodular lattices with a multiplicative structure. Examples are provided.

    更新日期:2020-10-15
  • Pairwise compatibility for 2-simple minded collections
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-10-13
    Eric J. Hanson; Kiyoshi Igusa

    In τ-tilting theory, it is often difficult to determine when a set of bricks forms a 2-simple minded collection. The aim of this paper is to determine when a set of bricks is contained in a 2-simple minded collection for a τ-tilting finite algebra. We begin by extending the definition of mutation from 2-simple minded collections to more general sets of bricks (which we call semibrick pairs). This gives

    更新日期:2020-10-13
  • On Suslin homology with integral coefficients in characteristic zero (with an appendix by Bruno Kahn)
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-17
    Xiaowen Hu; Bruno Kahn

    We show that the Suslin homology group with integral coefficients of a scheme X separated of finite type over an algebraically closed field of characteristic 0 is a direct sum of a uniquely divisible group, finite copies of Q/Z, and a finitely generated group. We also study the possible type of homomorphisms between such groups induced by the morphisms of schemes. An appendix written by Bruno Kahn

    更新日期:2020-10-05
  • Formal proofs of operator identities by a single formal computation
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-11
    Clemens G. Raab; Georg Regensburger; Jamal Hossein Poor

    A formal computation proving a new operator identity from known ones is, in principle, restricted by domains and codomains of linear operators involved, since not any two operators can be added or composed. Algebraically, identities can be modelled by noncommutative polynomials and such a formal computation proves that the polynomial corresponding to the new identity lies in the ideal generated by

    更新日期:2020-10-05
  • n-Cotorsion pairs
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-08
    Mindy Huerta; Octavio Mendoza; Marco A. Pérez

    Motivated by some properties satisfied by Gorenstein projective and Gorenstein injective modules over an Iwanaga-Gorenstein ring, we present the concept of left and right n-cotorsion pairs in an abelian category C. Two classes A and B of objects of C form a left n-cotorsion pair (A,B) in C if the orthogonality relation ExtCi(A,B)=0 is satisfied for indexes 1≤i≤n, and if every object of C has a resolution

    更新日期:2020-10-05
  • Higher level affine Schur and Hecke algebras
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-10-02
    Ruslan Maksimau; Catharina Stroppel

    We define a higher level version of the affine Hecke algebra and prove that, after completion, this algebra is isomorphic to a completion of Webster's tensor product algebra of type A. We then introduce a higher level version of the affine Schur algebra and establish, again after completion, an isomorphism with the quiver Schur algebra. An important observation is that the higher level affine Schur

    更新日期:2020-10-02
  • A quaternionic Nullstellensatz
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-14
    Gil Alon; Elad Paran

    We prove a Nullstellensatz for the ring of polynomial functions in n non-commuting variables over Hamilton's ring of real quaternions. We also characterize the generalized polynomial identities in n variables which hold over the quaternions, and more generally, over any division algebra.

    更新日期:2020-09-28
  • Five-vertex degree graphs of nonsolvable groups
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-16
    Kamal Aziziheris; Amineh Mohammadzadeh

    The prime character degree graph Δ(G) of a finite group G is the graph whose vertices are all prime divisors of the degrees of the complex irreducible characters of G, with distinct primes p and q joined by an edge if pq divides χ(1) for some complex irreducible character χ of G. Lewis and White determined all graphs with four vertices that occur as Δ(G) for some nonsolvable group G. In this paper

    更新日期:2020-09-28
  • Seshadri constants for vector bundles
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-08
    Mihai Fulger; Takumi Murayama

    We introduce Seshadri constants for line bundles in a relative setting. They generalize the classical Seshadri constants of line bundles on projective varieties and their extension to vector bundles studied by Beltrametti–Schneider–Sommese and Hacon. There are similarities to the classical theory. In particular, we give a Seshadri-type ampleness criterion, and we relate Seshadri constants to jet separation

    更新日期:2020-09-28
  • Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type VI. Suzuki and Ree groups
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-10
    Giovanna Carnovale; Mauro Costantini

    We analyse the rack structure of conjugacy classes in simple Suzuki and Ree groups and determine which classes are kthulhu. Combining these results with abelian rack techniques, we show that the only finite-dimensional complex pointed Hopf algebras over the simple Suzuki and Ree groups are their group algebras.

    更新日期:2020-09-20
  • Telescope conjecture for homotopically smashing t-structures over commutative noetherian rings
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-11
    Michal Hrbek; Tsutomu Nakamura

    We show that any homotopically smashing t-structure in the derived category of a commutative noetherian ring is compactly generated. This generalizes the validity of the telescope conjecture for commutative noetherian rings due to Neeman. As another consequence, we obtain a cofinite type result for pure-injective cosilting objects. We also give a formulation of telescope conjecture for homotopically

    更新日期:2020-09-20
  • Linear source invertible bimodules and Green correspondence
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-08
    Markus Linckelman; Michael Livesey

    We show that the Green correspondence induces an injective group homomorphism from the linear source Picard group L(B) of a block B of a finite group algebra to the linear source Picard group L(C), where C is the Brauer correspondent of B. This homomorphism maps the trivial source Picard group T(B) to the trivial source Picard group T(C). We show further that the endopermutation source Picard group

    更新日期:2020-09-18
  • Some versions of the U-invariant of a field
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-11
    A.S. Sivatski

    Let F be a field, charF≠2. Assume that a1,…an∈F⁎ are such that a‾1,…a‾n∈F⁎/F⁎2 are linearly independent over Z/2Z. As usual W(F) stands for the Witt ring of F. For an element φ∈W(F) denote by dim φ the dimension of the corresponding anisotropic quadratic form. Define uˆ(F;a1,…,an) as the maximum of dim φ, where φ runs over the set of elements in W(F), which become zero in W(F(a1,…,an)). This is a version

    更新日期:2020-09-18
  • K3 surfaces with 9 cusps in characteristic p
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-08
    Toshiyuki Katsura; Matthias Schütt

    We study K3 surfaces with 9 cusps, i.e. 9 disjoint A2 configurations of smooth rational curves, over algebraically closed fields of characteristic p≠3. Much like in the complex situation studied by Barth, we prove that each such surface admits a triple covering by an abelian surface. Conversely, we determine which abelian surfaces with order three automorphisms give rise to K3 surfaces. We also investigate

    更新日期:2020-09-18
  • Fundamental results on s-closures
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-09
    William D. Taylor

    This paper establishes the fundamental properties of the s-closures, a recently introduced family of closure operations on ideals of rings of positive characteristic. The behavior of the s-closure of homogeneous ideals in graded rings is studied, and criteria are given for when the s-closure of an ideal can be described exactly in terms of its tight closure and rational powers. Sufficient conditions

    更新日期:2020-09-09
  • Homotopical inverse diagrams in categories with attributes
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-09
    Krzysztof Kapulkin, Peter LeFanu Lumsdaine

    We define and develop the infrastructure of homotopical inverse diagrams in categories with attributes. Specifically, given a category with attributes C and an ordered homotopical inverse category I, we construct the category with attributes CI of homotopical diagrams of shape I in C and Reedy types over these; and we show how various logical structure (Π-types, identity types, and so on) lifts from

    更新日期:2020-09-09
  • On deformations of Gorenstein-projective modules over Nakayama and triangular matrix algebras
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-08
    José A. Vélez-Marulanda

    Let k be a fixed field of arbitrary characteristic and let Λ be a basic connected Nakayama k-algebra without simple projective modules. In this article we prove that if V is an indecomposable finitely generated Gorenstein-projective left Λ-module, then the versal deformation ring R(Λ,V) (in the sense of F. M. Bleher and the author) is universal and stable after taking syzygies. We also prove the following

    更新日期:2020-09-08
  • Degenerate versions of Green's theorem for Hall modules
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-08
    Matthew B. Young

    Green's theorem states that the Hall algebra of the category of representations of a quiver over a finite field is a twisted bialgebra. Considering instead categories of orthogonal or symplectic quiver representations leads to a class of modules over the Hall algebra, called Hall modules, which are also comodules. A module theoretic analogue of Green's theorem, describing the compatibility of the module

    更新日期:2020-09-08
  • Reducibility of generalized Verma modules for Hermitian symmetric pairs
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-08
    Zhanqiang Bai, Wei Xiao

    In this article, we give some practical criteria to determine the reducibility of generalized Verma modules (induced from finite-dimensional modules) in the Hermitian symmetric case. Our criteria are given by the information of the corresponding highest weights of the finite-dimensional modules and relatively easy to verify. This article is inspired by earlier work of Kubo about Jantzen's criterion

    更新日期:2020-09-08
  • Poly-freeness in large even Artin groups
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-08
    Rubén Blasco-García

    We prove that any large even Artin group is poly-free and that any even Artin group based on a triangle graph is also poly-free.

    更新日期:2020-09-08
  • Infinite dimensional families of Calabi–Yau threefolds and moduli of vector bundles
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-08
    Edoardo Ballico, Elizabeth Gasparim, Bruno Suzuki

    We study noncompact Calabi–Yau threefolds, their moduli spaces of vector bundles and deformation theory. We present Calabi–Yau threefolds that have infinitely many distinct deformations, constructing them explicitly, and describe the effect that such deformations produce on moduli spaces of vector bundles.

    更新日期:2020-09-08
  • Invariant TI-subgroups and structure of finite groups
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-07
    Changguo Shao, Antonio Beltrán

    Let G be a finite group and assume that a group of automorphisms A is acting on G such that A and G have coprime orders. Recall that a subgroup H of G is said to be a TI-subgroup if it has trivial intersection with its distinct conjugates in G. We study the solubility and other properties of G when we assume that certain invariant subgroups of G are TI-subgroups, precisely when all A-invariant subgroups

    更新日期:2020-09-07
  • Théorie inverse de Galois sur les corps des fractions rationnelles tordus
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-05
    Angelot Behajaina

    Dans cet article, nous montrons que si H est un corps gauche de centre k et σ un automorphisme d'ordre fini de H tels que le sous-corps k〈σ〉 de k fixé par σ contient un corps ample, alors le problème inverse de Galois admet une réponse positive sur le corps H(t,σ) des fractions rationnelles tordus. De plus, si k〈σ〉 contient un corps qui est, soit réel clos, soit hensélien de caractéristique résiduelle

    更新日期:2020-09-05
  • A criterion for extending morphisms from open subsets of smooth fibrations of algebraic varieties
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-05
    Vassil Kanev

    Given a smooth morphism Y→S and a proper morphism P→S of algebraic varieties we give a sufficient condition for extending an S-morphism U→P, where U is an open subset of Y, to an S-morphism Y→P, analogous to Zariski's main theorem.

    更新日期:2020-09-05
  • Multiplicative closure operations on ring extensions
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-05
    Dario Spirito

    Let A⊆B be a ring extension and G be a set of A-submodules of B. We introduce a class of closure operations on G (which we call multiplicative operations on (A,B,G)) that generalizes the classes of star, semistar and semiprime operations. We study how the set Mult(A,B,G) of these closure operations varies when A, B or G vary, and how Mult(A,B,G) behaves under ring homomorphisms. As an application,

    更新日期:2020-09-05
  • On Steinberg algebras of Hausdorff ample groupoids over commutative semirings
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-05
    Tran Giang Nam, Jens Zumbrägel

    We investigate the algebra of a Hausdorff ample groupoid, introduced by Steinberg, over a commutative semiring S. In particular, we obtain a complete characterization of congruence-simpleness for such Steinberg algebras, extending the well-known characterizations when S is a field or a commutative ring. We also provide a criterion for the Steinberg algebra AS(GE) of the graph groupoid GE associated

    更新日期:2020-09-05
  • Non-abelian simple groups act with almost all signatures
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-05
    Mariela Carvacho, Jennifer Paulhus, Thomas Tucker, Aaron Wootton

    The topological data of a finite group G acting conformally on a compact Riemann surface is often encoded using a tuple of non-negative integers (h;m1,…,ms) called its signature, where the mi are orders of non-trivial elements in the group. There are two easily verifiable arithmetic conditions on a tuple which are necessary for it to be a signature of some group action. We derive necessary and sufficient

    更新日期:2020-09-05
  • On the categorical behaviour of V-groups
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-05
    Maria Manuel Clementino, Andrea Montoli

    We consider compatible group structures on a V-category, where V is a quantale, and we study the topological and algebraic properties of such groups. Examples of such structures are preordered groups, metric and ultrametric groups, probabilistic (ultra)metric groups. In particular, we show that, when V is a frame, symmetric V-groups satisfy very strong categorical-algebraic properties, typical of the

    更新日期:2020-09-05
  • Centrality of K2-functor revisited
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-03
    Egor Voronetsky

    We prove that St(n,A) is a crossed module over GL(n,A) under a local stable rank condition on an algebra A over a commutative ring. Our proof uses only elementary localization techniques in terms of pro-groups and stability results for K1 and K2. We also prove similar result for the Steinberg group associated with any sufficiently isotropic general linear group constructed by a quasi-finite algebra

    更新日期:2020-09-03
  • Finite-dimensional Hopf algebras over the Hopf algebra Hd:−1,1 of Kashina
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-09-02
    Yiwei Zheng, Yun Gao, Naihong Hu

    Let H be the 16-dimensional non-trivial semisimple Hopf algebra Hd:−1,1 in the classification work of Kashina [28]. Actually, H≅H8⊗kC2, where H8 is the Kac-Paljutkin algebra [26]. Let V=⨁i∈IVi, where Vi is a simple object in YDHH. All finite-dimensional Nichols algebras satisfying B(V)≅⨂i∈IB(Vi) are determined completely. Under this assumption, we consider and classify all those Hopf algebras of finite-dimensional

    更新日期:2020-09-02
  • The automorphisms of generalized cyclic Azumaya algebras
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-08-24
    S. Pumplün

    We define a nonassociative generalization of cyclic Azumaya algebras employing skew polynomial rings D[t;σ], where D is an Azumaya algebra of constant rank with center C and σ an automorphism of D, such that σ|C has finite order. The automorphisms of these algebras are canonically induced by ring automorphisms of the skew polynomial ring D[t;σ] used in their construction. We achieve a description of

    更新日期:2020-08-24
  • The second maximal groups with respect to the sum of element orders
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-08-18
    Marcel Herzog, Patrizia Longobardi, Mercede Maj

    Denote by G a finite group and let ψ(G) denote the sum of element orders in G. In 2009, H. Amiri, S.M. Jafarian Amiri and I.M. Isaacs proved that if |G|=n and G is non-cyclic, then ψ(G)<ψ(Cn), where Cn denotes the cyclic group of order n. In 2018 we proved that if G is non-cyclic group of order n, then ψ(G)≤711ψ(Cn) and equality holds if n=4k with (k,2)=1 and G=(C2×C2)×Ck. In this paper we proved that

    更新日期:2020-08-18
  • A combinatorial classification of 2-regular simple modules for Nakayama algebras
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-08-18
    René Marczinzik, Martin Rubey, Christian Stump

    Enomoto showed for finite dimensional algebras that the classification of exact structures on the category of finitely generated projective modules can be reduced to the classification of 2-regular simple modules. In this article, we give a combinatorial classification of 2-regular simple modules for Nakayama algebras and we use this classification to answer several natural questions such as when there

    更新日期:2020-08-18
  • On non-weight representations of the N = 2 superconformal algebras
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-08-12
    Hengyun Yang, Yufeng Yao, Limeng Xia

    In this paper, we construct a family of non-weight modules over the untwisted N=2 superconformal algebras. Those modules when regarded as modules over the Cartan subalgebra (modulo the center) are free of rank 2. We give a classification of isomorphism classes of such modules. Moreover, all submodules of such modules are precisely determined. In particular, those modules are not simple. The corresponding

    更新日期:2020-08-12
  • Algebraic properties of quantum quasigroups
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-08-12
    Bokhee Im, Alex W. Nowak, Jonathan D.H. Smith

    Quantum quasigroups provide a self-dual framework for the unification of quasigroups and Hopf algebras. This paper furthers the transfer program, investigating extensions to quantum quasigroups of various algebraic features of quasigroups and Hopf algebras. Part of the difficulty of the transfer program is the fact that there is no standard model-theoretic procedure for accommodating the coalgebraic

    更新日期:2020-08-12
  • Hopf modules, Frobenius functors and (one-sided) Hopf algebras
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-08-12
    Paolo Saracco

    We investigate the property of being Frobenius for some functors strictly related with Hopf modules over a bialgebra and how this property reflects on the latter. In particular, we characterize one-sided Hopf algebras with anti-(co)multiplicative one-sided antipode as those for which the free Hopf module functor is Frobenius. As a by-product, this leads us to relate the property of being an FH-algebra

    更新日期:2020-08-12
  • Correspondence between some metabelian varieties and left nilpotent varieties
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-08-12
    S.P. Mishchenko, A. Valenti

    In the class of left nilpotent algebras of index two it was proved that there are no varieties of fractional polynomial growth ≈nα with 1<α<2 and 2<α<3 instead it was established the existence of a variety of fractional polynomial growth with α=72. In this paper we investigate similar problems for varieties of commutative or anticommutative metabelian algebras. We construct a correspondence between

    更新日期:2020-08-12
  • On multiplicities of cocharacters for algebras with superinvolution
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-08-11
    Antonio Ioppolo, Fabrizio Martino

    In this paper we deal with finitely generated superalgebras with superinvolution, satisfying a non-trivial identity, whose multiplicities of the cocharacters are bounded by a constant. Along the way, we prove that the codimension sequence of such algebras is polynomially bounded if and only if their colength sequence is bounded by a constant.

    更新日期:2020-08-11
  • Convex topological algebras via linear vector fields and Cuntz algebras
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-08-11
    Wolfgang Bock, Vyacheslav Futorny, Mikhail Neklyudov

    A realization by linear vector fields is constructed for any Lie algebra which admits a biorthogonal system and for its any suitable representation. The embedding into Lie algebras of linear vector fields is in analogue to the classical Jordan—Schwinger map. A number of examples of such Lie algebras of linear vector fields is computed. In particular, we obtain examples of the twisted Heisenberg-Virasoro

    更新日期:2020-08-11
  • Override and update
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-08-11
    Marcel Jackson, Tim Stokes

    Override and update are natural constructions for combining partial functions, which arise in various program specification contexts. We use an unexpected connection with combinatorial geometry to provide a complete finite system of equational axioms for the first order theory of the override and update constructions on partial functions, resolving the main unsolved problem in the area.

    更新日期:2020-08-11
  • Conformal oscillator representations of orthosymplectic Lie superalgebras
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-08-11
    Xiaoping Xu

    In this paper, we generalize the one-parameter (c) family of inhomogeneous first-order differential operator representations of the orthogonal Lie algebras arising from conformal transformations to those of orthosymplectic Lie superalgebras, and determine the irreducible condition. Letting these supersymmetric differential operators act on the space of supersymmetric exponential-polynomial functions

    更新日期:2020-08-11
  • Filters compatible with isomorphism testing
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-08-11
    Joshua Maglione

    Like the lower central series of a nilpotent group, filters generalize the connection between nilpotent groups and graded Lie rings. However, unlike the case with the lower central series, the associated graded Lie ring may share few features with the original group: e.g. the associated Lie ring can be trivial or arbitrarily large. We determine properties of filters such that every isomorphism between

    更新日期:2020-08-11
  • Persistent magnitude
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-08-11
    Dejan Govc, Richard Hepworth

    In this paper we introduce the persistent magnitude, a new numerical invariant of (sufficiently nice) graded persistence modules. It is a weighted and signed count of the bars of the persistence module, in which a bar of the form [a,b) in degree d is counted with weight (e−a−e−b) and sign (−1)d. Persistent magnitude has good formal properties, such as additivity with respect to exact sequences and

    更新日期:2020-08-11
  • Coherence for closed categories with biproducts
    J. Pure Appl. Algebra (IF 0.77) Pub Date : 2020-08-11
    Zoran Petrić, Mladen Zekić

    A coherence result for symmetric monoidal closed categories with biproducts is shown in this paper. It is also explained how to prove coherence for compact closed categories with biproducts and for dagger compact closed categories with dagger biproducts by using the same technique.

    更新日期:2020-08-11
Contents have been reproduced by permission of the publishers.
导出
全部期刊列表>>
Springer 纳米技术权威期刊征稿
全球视野覆盖
施普林格·自然新
chemistry
3分钟学术视频演讲大赛
物理学研究前沿热点精选期刊推荐
自然职位线上招聘会
欢迎报名注册2020量子在线大会
化学领域亟待解决的问题
材料学研究精选新
GIANT
ACS ES&T Engineering
ACS ES&T Water
屿渡论文,编辑服务
ACS Publications填问卷
阿拉丁试剂right
麻省大学
西北大学
湖南大学
华东师范大学
王要兵
化学所
隐藏1h前已浏览文章
课题组网站
新版X-MOL期刊搜索和高级搜索功能介绍
ACS材料视界
天合科研
x-mol收录
陆军军医大学
杨财广
廖矿标
试剂库存
down
wechat
bug