当前期刊: Journal of Algebra and Its Applications Go to current issue    加入关注    本刊投稿指南
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
  • Nil 𝒢-cleanness and strongly nil 𝒢-cleanness of rings
    J. Algebra Appl. (IF 0.61) Pub Date : 2021-01-20
    Gaohua Tang; Yiqiang Zhou

    A unit-picker is a map 𝒢 that associates to every ring R a well-defined set 𝒢(R) of central units in R which contains 1R and is invariant under isomorphisms of rings and closed under taking inverses, and which satisfies certain set containment conditions for quotient rings, corner rings and matrix rings. Let 𝒢 be a unit-picker. A ring R is called (strongly) nil 𝒢-clean if for each a∈R, a=ve+b where

    更新日期:2021-01-27
  • Regular Hom–Lie structures on strictly upper triangular matrix Lie algebras
    J. Algebra Appl. (IF 0.61) Pub Date : 2021-01-20
    Zhengxin Chen; Yalong Yu

    A Hom-structure on a Lie algebra (𝔤,[⋅,⋅]) is a linear map σ:𝔤→𝔤 which satisfies the Hom–Jacobi identity [[x,y],σ(z)]+[[z,x],σ(y)]+[[y,z],σ(x)]=0 for all x,y,z∈𝔤. A Hom-structure is called regular if σ is also a Lie algebra isomorphism. Let 𝒩 be the Lie algebra consisting of all strictly upper triangular (n+1)×(n+1) matrices over a field 𝔽. In this paper, we prove that if n≥4, any regular Hom-structure

    更新日期:2021-01-27
  • Models for functor categories over self-injective quivers
    J. Algebra Appl. (IF 0.61) Pub Date : 2021-01-16
    Rongmin Zhu; Houjun Zhang

    Let R be a ring, Q a small k-preadditive category, and let Q,RMod be the category of k-linear functors from Q to the left R-module category RMod. Given a cotorsion pair (𝒜,ℬ) in RMod, we construct four cotorsion pairs (Γ(𝒜),Γ(𝒜)⊥), (⊥Γ(ℬ),Γ(ℬ)), (Θ(𝒜),Θ(𝒜)⊥) and (⊥ξ(ℬ),ξ(ℬ)) in Q,RMod and investigate when these cotorsion pairs are hereditary and complete. Moreover, under few assumptions, we show

    更新日期:2021-01-27
  • Centers of centralizers of nilpotent elements in exceptional Lie superalgebras
    J. Algebra Appl. (IF 0.61) Pub Date : 2021-01-07
    Leyu Han

    Let 𝔤=𝔤0̄⊕𝔤1̄ be a finite-dimensional simple Lie superalgebra of type D(2,1;α), G(3) or F(4) over ℂ. Let G be the simply connected semisimple algebraic group over ℂ such that Lie(G)=𝔤0̄. Suppose e∈𝔤0̄ is nilpotent. We describe the centralizer 𝔤e of e in 𝔤 and its center 𝔷(𝔤e) especially. We also determine the labeled Dynkin diagram for e. We prove theorems relating the dimension of 𝔷(𝔤e)Ge

    更新日期:2021-01-27
  • Generalized Grigorchuk’s overgroups as points in the space of marked 8-generated groups
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-12-29
    Supun T. Samarakoon

    First Grigorchuk group 𝒢 and Grigorchuk’s overgroup 𝒢̃, introduced in 1980, are self-similar branch groups with intermediate growth. In 1984, 𝒢 was used to construct the family of generalized Grigorchuk groups {Gω|ω∈{0,1,2}ℕ}, which has many remarkable properties. Following this construction, we generalize the Grigorchuk’s overgroup 𝒢̃ to the family {G̃ω|ω∈{0,1,2}ℕ} of generalized Grigorchuk’s

    更新日期:2021-01-27
  • The existence of primitive normal elements of quadratic forms over finite fields
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-12-29
    Himangshu Hazarika; Dhiren Kumar Basnet; Stephen D. Cohen

    For q=3r (r∈ℕ), denote by 𝔽q the finite field of order q and for a positive integer m≥2, let 𝔽qm be its extension field of degree m. We establish a sufficient condition for existence of a primitive normal element α such that f(α) is a primitive element, where f(x)=ax2+bx+c, with a,b,c∈𝔽qm satisfying b2≠ac in 𝔽qm.

    更新日期:2021-01-27
  • Skew cyclic codes over 𝔽4R
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-12-28
    Nasreddine Benbelkacem; Martianus Frederic Ezerman; Taher Abualrub; Nuh Aydin; Aicha Batoul

    This paper considers a new alphabet set, which is a ring that we call 𝔽4R, to construct linear error-control codes. Skew cyclic codes over this ring are then investigated in details. We define a nondegenerate inner product and provide a criteria to test for self-orthogonality. Results on the algebraic structures lead us to characterize 𝔽4R-skew cyclic codes. Interesting connections between the image

    更新日期:2021-01-27
  • Duplication methods for embeddings of real division algebras
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-12-23
    Marina Tvalavadze; Noureddine Motya; Abdellatif Rochdi

    We introduce two groups of duplication processes that extend the well known Cayley–Dickson process. The first one allows to embed every 4-dimensional (4D) real unital algebra 𝒜 into an 8D real unital algebra denoted by FD(𝒜). We also find the conditions on 𝒜 under which FD(𝒜) is a division algebra. This covers the most classes of known 4D real division algebras. The second process allows us to

    更新日期:2021-01-27
  • Representation theory of symmetric groups and the strong Lefschetz property
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-12-17
    Seok-Jin Kang; Young Rock Kim; Yong-Su Shin

    We investigate the structure and properties of an Artinian monomial complete intersection quotient A(n,d)=𝕂[x1,…,xn]/(x1d,…,xnd). We construct explicit homogeneous bases of A(n,d) that are compatible with the Sn-module structure for n=3, all exponents d≥3 and all homogeneous degrees j≥0. Moreover, we derive the multiplicity formulas, both in recursive form and in closed form, for each irreducible

    更新日期:2021-01-27
  • Buchsbaumness of the associated graded rings of filtration
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-11-30
    Kumari Saloni

    Let (A,𝔪) be a Noetherian local ring of dimension d>0 and I an 𝔪-primary ideal of A. In this paper, we discuss a sufficient condition, for the Buchsbaumness of the local ring A to be passed onto the associated graded ring of filtration. Let ℐ denote an I-good filtration. We prove that if A is Buchsbaum and the 𝕀 -invariant, 𝕀(A) and 𝕀(G(ℐ)), coincide then the associated graded ring G(ℐ) is Buchsbaum

    更新日期:2021-01-27
  • Zero-divisor graph of semisimple group-rings
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-11-25
    Krishnan Paramasivam; K. Muhammed Sabeel

    Let Γ(R), ΓE(R), ΓAnn(R) denote the zero-divisor graph, compressed zero-divisor graph and annihilating ideal graph of a commutative ring R, respectively. In this paper, we prove that ΓE(R)≅ΓAnn(R) for a semisimple commutative ring R and represent Γ(R) as a generalized join of a finite set of graphs. Further, we study the zero-divisor graph of a semisimple group-ring 𝔽qCn and proved several structural

    更新日期:2021-01-27
  • Kac–Wakimoto conjecture for the periplectic Lie superalgebra
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-11-24
    Inna Entova-Aizenbud; Vera Serganova

    We prove an analogue of the Kac–Wakimoto conjecture for the periplectic Lie superalgebra 𝔭(n), stating that any simple module lying in a block of non-maximal atypicality has superdimension zero.

    更新日期:2021-01-27
  • Good codes from metacyclic groups II
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-11-20
    Samir Assuena

    In this paper, we consider semisimple group algebras 𝔽qG of split metacyclic groups over finite fields. We construct left codes in 𝔽qG in the case when the order G is pmℓn, where p and ℓ are different primes such that gcd(q,p,ℓ)=1 extend the construction described in a previous paper, determine their dual codes and find some good codes.

    更新日期:2021-01-27
  • On the relative size of toric bases
    J. Algebra Appl. (IF 0.61) Pub Date : 2021-01-25
    Christos Tatakis; Apostolos Thoma

    We consider the Graver basis, the universal Gröbner basis, a Markov basis and the set of the circuits of a toric ideal. Let A,B be any two of these bases such that A⊉B in general, we prove that there is no polynomial on the size or on the maximal degree of the elements of A which bounds the size or the maximal degree of the elements of B correspondingly.

    更新日期:2021-01-26
  • Maximal non-ϕ-pseudo-valuation rings
    J. Algebra Appl. (IF 0.61) Pub Date : 2021-01-25
    Rahul Kumar; Atul Gaur

    The notion of maximal non-ϕ-pseudo-valuation ring is introduced which generalizes the concept of maximal non-pseudo-valuation domain. The equivalence of maximal non-ϕ-PVR and maximal non-local ring is established under some conditions. The concept of maximal non-PVR is also introduced and it is shown that a maximal non-PVR is either a ϕ-PVR or a maximal non-ϕ-PVR. Examples are also given to show that

    更新日期:2021-01-26
  • On the ring of D-valued R-polynomials over E
    J. Algebra Appl. (IF 0.61) Pub Date : 2021-01-20
    Ali Tamoussit

    Let D be an integral domain with quotient field K, R be an overring of D, X be an indeterminate over R and E be a subset of K. We consider the ring of D-valuedR-polynomials onE, denoted by IntR(E,D), formed by the polynomials f∈R[X] such that f(a)∈D for each a∈E, that is, IntR(E,D):={f∈R[X]:f(E)⊆D}. In this paper, we study localization properties, local freeness and faithful flatness of IntR(E,D) over

    更新日期:2021-01-21
  • Biprojectivity of generalized module extension and second dual of Banach algebras
    J. Algebra Appl. (IF 0.61) Pub Date : 2021-01-16
    M. Essmaili; A. Rejali; A. Salehi Marzijarani

    In this paper, we study biprojectivity of generalized module extension Banach algebras and second dual of Banach algebras. As a main result, we prove that if I is a contractible closed ideal of A such that A/I is biprojective, then A is biprojective. As a consequence, we give some results on biprojectivity of generalized module extension Banach algebras. Indeed, this is a generalization of results

    更新日期:2021-01-18
  • An answer to a question about maximal non-integrally closed subrings
    J. Algebra Appl. (IF 0.61) Pub Date : 2021-01-16
    Noômen jarboui

    The main purpose of this paper is to answer a question which was left open in N. Jarboui and S. Aljubran [Maximal non-integrally closed subrings of an integral domain, Ric. Mat. (2020), https://doi.org/10.1007/s11587-020-00500-0] asking for a characterization of maximal non-integrally closed subrings of arbitrary rings.

    更新日期:2021-01-18
  • Classification of fusion categories generated by a self-dual simple object of FP-dimension 2
    J. Algebra Appl. (IF 0.61) Pub Date : 2021-01-16
    Zhihua Wang; Jingcheng Dong; Libin Li

    In this paper, we consider fusion categories generated by a self-dual simple object of FP-dimension 2. We use the classification results of indecomposable generalized Cartan matrices to determine possible types of these fusion categories. It turns out that there are only five types for such categories. Moreover, the fusion rules of all types of these fusion categories are explicitly described according

    更新日期:2021-01-18
  • Almost subnormal subgroups in division rings with generalized algebraic rational identities
    J. Algebra Appl. (IF 0.61) Pub Date : 2021-01-16
    Bui Xuan Hai; Truong Huu Dung; Mai Hoang Bien

    In this paper, we study non-central almost subnormal subgroups of the multiplicative group of a division ring satisfying a nonzero generalized rational identity. The main result generalizes Chiba’s theorem on subnormal subgroups. As an application, we get a theorem on almost subnormal subgroups satisfying a generalized algebraic rational identity. The last theorem has several corollaries which generalize

    更新日期:2021-01-18
  • Universal factorization algebras of polynomials represent Lie algebras of endomorphisms
    J. Algebra Appl. (IF 0.61) Pub Date : 2021-01-07
    Ommolbanin Behzad; Abbas Nasrollah Nejad

    The goal of this paper is to supply an explicit description of the universal factorization algebra of the generic polynomial of degree n into the product of two monic polynomials, one of degree r, as a representation of Lie algebras of n×n matrices with polynomial entries. This is related with the bosonic vertex representation of the Lie algebra gl∞ due to Date, Jimbo, Kashiwara and Miwa.

    更新日期:2021-01-18
  • Profinite completions and MacNeille completions of finitely presented MV-algebras
    J. Algebra Appl. (IF 0.61) Pub Date : 2021-01-07
    Jean B. Nganou

    We prove that the profinite completion construction is a covariant functor from the category of (universal) algebras of a given type into the category of the corresponding Stone algebras. A Grothendieck problem for finitely presented MV-algebras is also formulated and solved. Finally, we characterize finitely presented MV-algebras for which profinite completions and MacNeille completions coincide.

    更新日期:2021-01-18
  • Valued fields with finitely many defect extensions of prime degree
    J. Algebra Appl. (IF 0.61) Pub Date : 2021-01-04
    Franz-Viktor Kuhlmann

    We prove that a valued field of positive characteristic p that has only finitely many distinct Artin–Schreier extensions (which is a property of infinite NTP2 fields) is dense in its perfect hull. As a consequence, it is a deeply ramified field and has p-divisible value group and perfect residue field. Further, we prove a partial analogue for valued fields of mixed characteristic and observe an open

    更新日期:2021-01-04
  • Strongly D2 modules and their applications
    J. Algebra Appl. (IF 0.61) Pub Date : 2021-01-04
    Mingzhao Chen; Hwankoo Kim; Fanggui Wang

    An R-module M is called strongly D2 if M(n) is a D2 (equivalently, direct projective) module for every positive integer n. In this paper, we consider the class of quasi-projective R-modules, the class of strongly D2R-modules and the class of D2R-modules. We first show that these classes are distinct, which gives a negative answer to the question raised by Li–Chen–Kourki. We also give structural characterizations

    更新日期:2021-01-04
  • Finite groups with at most six vanishing conjugacy classes
    J. Algebra Appl. (IF 0.61) Pub Date : 2021-01-04
    Sajjad M. Robati; M. R. Darafsheh †

    Let G be a finite group. We say that a conjugacy class of g in G is vanishing if there exists some irreducible character χ of G such that χ(g)=0. In this paper, we show that finite groups with at most six vanishing conjugacy classes are solvable or almost simple groups.

    更新日期:2021-01-04
  • Splitting quaternion algebras defined over a finite field extension
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-12-29
    Karim Johannes Becher; Fatma Kader Bi̇ngöl; David B. Leep

    We study systems of quadratic forms over fields and their isotropy over 2-extensions. We apply this to obtain particular splitting fields for quaternion algebras defined over a finite field extension. As a consequence we obtain that every central simple algebra of degree 16 is split by a 2-extension of degree at most 216.

    更新日期:2020-12-31
  • On product-one sequences over dihedral groups
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-12-30
    Alfred Geroldinger; David J. Grynkiewicz; Jun Seok Oh; Qinghai Zhong

    Let G be a finite group. A sequence over G means a finite sequence of terms from G, where repetition is allowed and the order is disregarded. A product-one sequence is a sequence whose elements can be ordered such that their product equals the identity element of the group. The set of all product-one sequences over G (with the concatenation of sequences as the operation) is a finitely generated C-monoid

    更新日期:2020-12-30
  • Quasi-s.Baer and related modules
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-12-28
    Gary F. Birkenmeier; Yeliz Kara; Adnan Tercan

    In this paper, the s.Baer module concept and some of its generalizations (e.g. quasi-s.Baer, π-s.Baer and p.q.-s.Baer) are developed. To this end, we characterize the class of rings for which every module is quasi-s.Baer as the class of rings which are finite direct sums of simple rings. Connections are made between the s.Baer (quasi-s.Baer, π-s.Baer) and the extending (FI-extending, π-extending) properties

    更新日期:2020-12-29
  • Skew braces of size p2q II: Non-abelian type
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-12-28
    E. Acri; M. Bonatto

    In this paper we enumerate the skew braces of non-abelian type of size p2q for p,q primes with q>2 by the classification of regular subgroups of the holomorph of the non-abelian groups of the same order. Since Crespo dealt with the case q=2, this paper completes the enumeration of skew braces of size p2q started in a previous work by the authors. In some cases, we provide also a structural description

    更新日期:2020-12-29
  • An answer to a conjecture on the sum of element orders
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-12-28
    Morteza Baniasad Azad; Behrooz Khosravi; Morteza Jafarpour

    Let G be a finite group and ψ(G)=∑g∈Go(g), where o(g) denotes the order of g. The function ψ′′(G)=ψ(G)/|G|2 was introduced by Tărnăuceanu. In [M. Tărnăuceanu, Detecting structural properties of finite groups by the sum of element orders, Israel J. Math. (2020), https://doi.org/10.1007/s11856-020-2033-9], some lower bounds for ψ″(G) are determined such that if ψ″(G) is greater than each of them, then

    更新日期:2020-12-29
  • Clover nil restricted Lie algebras of quasi-linear growth
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-12-23
    Victor Petrogradsky

    The Grigorchuk and Gupta–Sidki groups play a fundamental role in modern group theory. They are natural examples of self-similar finitely generated periodic groups. The author constructed their analogue in case of restricted Lie algebras of characteristic 2 [V. M. Petrogradsky, Examples of self-iterating Lie algebras, J. Algebra302(2) (2006) 881–886], Shestakov and Zelmanov extended this construction

    更新日期:2020-12-24
  • On the subring generated by commutators
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-12-23
    Münevver Pınar Eroğlu

    Let R be a ring. By the notation [R,R] we denote the additive subgroup of R generated by all [a,b]=ab−ba in R. In this work, we partially generalize a result due to Herstein [I. N. Herstein, Topics in Ring Theory (University of Chicago Press, 1969)] showing that if 1∈[R,R], then the subring generated by [R,R] is equal to R. This result implies that [R,R] cannot be a proper subring of R.

    更新日期:2020-12-24
  • Finite solvable groups with few imprimitive irreducible characters
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-12-23
    Temha Erkoç; Burcu Çınarcı

    In this paper, we classify all finite solvable groups having at most two imprimitive irreducible characters.

    更新日期:2020-12-24
  • Vector bundles satisfying the point property
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-12-23
    Punam Gupta; Sanjay Kumar Singh

    In this note, we prove that vector bundles which satisfy the point property over a very general principally polarized Jacobian, Prym and abelian variety are indecomposable. We also compare two known constructions of vector bundles satisfying the point property over a very general principally polarized abelian surface.

    更新日期:2020-12-24
  • When is a fixed ring comparable to all overrings?
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-12-22
    Ahmed Ayache

    An overring Ro of an integral domain R is said to be comparable if Ro≠R, Ro≠qf(R), and each overring of R is comparable to Ro under inclusion. We do provide necessary and sufficient conditions for which R has a comparable overring. Several consequences are derived, specially for minimal overrings, or in the case where the integral closure R¯ of R is a comparable overring, or also when each chain of

    更新日期:2020-12-23
  • Algebraic approach to Rump’s results on relations between braces and pre-lie algebras
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-12-22
    Agata Smoktunowicz

    In 2014, Wolfgang Rump showed that there exists a correspondence between left nilpotent right ℝ-braces and pre-Lie algebras. This correspondence, established using a geometric approach related to flat affine manifolds and affine torsors, works locally. In this paper, we explain Rump’s correspondence using only algebraic formulae. An algebraic interpretation of the correspondence works for fields of

    更新日期:2020-12-23
  • Variations of essentiality of ideals in commutative rings
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-12-18
    E. Ghashghaei

    In this paper, we describe how intersections with a totality of some ideals affect the essentiality of an ideal. We mainly study intersections with every (a) annihilator ideal, (b) prime ideal (c) strongly irreducible ideal (d) irreducible ideal and every pure ideal. After some general results, the paper focuses on C(X) to characterize spaces X when every irreducible ideal of C(X) is pseudoprime. We

    更新日期:2020-12-20
  • A criterion for the existence of nilpotent hall π-subgroups
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-12-17
    Neda Ahanjideh

    Let N be a nontrivial normal subgroup of G and ∅≠π⊆π(N). In this paper, we show that if 2∉π and for every π-element x∈N−Z(N) with |π(x)|≤2, |clG(x)|=m, for some integer m, then N has nilpotent Hall π-subgroups. Further, we show that if |π(N/Z(N))∩π|≥2, then N has abelian Hall π-subgroups.

    更新日期:2020-12-18
  • Quasi-injectivity of partially ordered acts
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-12-17
    Mahdieh Yavari; M. Mehdi Ebrahimi

    It is well known that injective objects play a fundamental role in many branches of mathematics. The question whether a given category has enough injective objects has been investigated for many categories. Also, quasi-injective modules and acts have been studied by many categorists. In this paper, we study quasi-injectivity in the category of actions of an ordered monoid on ordered sets (Pos-S) with

    更新日期:2020-12-18
  • Twisted conjugacy classes in twisted Chevalley groups
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-12-17
    Sushil Bhunia; Pinka Dey; Amit Roy

    Let G be a group and φ be an automorphism of G. Two elements x,y∈G are said to be φ-twisted conjugate if y=gxφ(g)−1 for some g∈G. We say that a group G has the R∞-property if the number of φ-twisted conjugacy classes is infinite for every automorphism φ of G. In this paper, we prove that twisted Chevalley groups over a field k of characteristic zero have the R∞-property as well as the S∞-property if

    更新日期:2020-12-18
  • Frobenius W-algebras and traces of Frobenius Heisenberg categories
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-12-10
    Michael Reeks; Alistair Savage

    To each symmetric graded Frobenius superalgebra we associate a W-algebra. We then define a linear isomorphism between the trace of the Frobenius Heisenberg category and a central reduction of this W-algebra. We conjecture that this is an isomorphism of graded superalgebras.

    更新日期:2020-12-11
  • On reduced archimedean skew power series rings
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-12-10
    Hamed Mousavi; Farzad Padashnik; Ayesha Asloob Qureshi

    In this paper, we prove that if R is an Archimedean reduced ring and satisfy ACC on annihilators, then R[[x]] is also an Archimedean reduced ring. More generally, we prove that if R is a right Archimedean ring satisfying the ACC on annihilators and α is a rigid automorphism of R, then the skew power series ring R[[x;α]] is right Archimedean reduced ring. We also provide some examples to justify the

    更新日期:2020-12-11
  • Polynomial and power series ring extensions from sequences
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-12-08
    Gyu Whan Chang; Phan Thanh Toan

    Let R be a commutative ring with identity. Let R[x] and R[[x]] be the collection of polynomials and, respectively, of power series with coefficients in R. There are a lot of multiplications in R[x] and R[[x]] such that together with the usual addition, R[x] and R[[x]] become rings that contain R as a subring. These multiplications are from a class of sequences λ={λn}n=0∞ of positive integers. The trivial

    更新日期:2020-12-09
  • Generalized fine rings
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-12-08
    Yiqiang Zhou

    As introduced by Cǎlugǎreanu and Lam in [G. Cǎlugǎreanu and T. Y. Lam, Fine rings: a new class of simple rings, J. Algebra Appl.15(9) (2016) 1650173, 18 pp.], a fine ring is a ring whose every nonzero element is the sum of a unit and a nilpotent. As a natural generalization of fine rings, a ring is called a generalized fine ring if every element not in the Jacobson radical is the sum of a unit and

    更新日期:2020-12-09
  • Quantum B-algebras with involutions
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-12-07
    Lavinia Corina Ciungu

    The aim of this paper is to define and study the involutive and weakly involutive quantum B-algebras. We prove that any weakly involutive quantum B-algebra is a residuated poset. As an application, we introduce and investigate the notions of existential and universal quantifiers on involutive quantum B-algebras. It is proved that there is a one-to-one correspondence between the quantifiers on weakly

    更新日期:2020-12-07
  • Characterizing some polarized Fano fibrations via Hilbert curves
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-11-30
    Antonio Lanteri; Andrea Luigi Tironi

    The Hilbert curve of a complex polarized manifold (X,L) is the complex affine plane curve of degree dim(X) defined by the Hilbert-like polynomial χ(xKX+yL), where KX is the canonical bundle of X and x and y are regarded as complex variables. A natural expectation is that this curve encodes several properties of the pair (X,L). In particular, the existence of a fibration of X over a variety of smaller

    更新日期:2020-12-01
  • Calculation of h1 of some Anderson t-motives
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-11-28
    S. Ehbauer; A. Grishkov; D. Logachev

    We consider Anderson t-motives M of dimension 2 and rank 4 defined by some simple explicit equations parameterized by 2×2 matrices. We use methods of explicit calculation of h1(M) — the dimension of their cohomology group H1(M) (=the dimension of the lattice of their dual t-motive M′) developed in our earlier paper. We calculate h1(M) for M defined by all matrices of the form 0a12a210, and by some

    更新日期:2020-12-01
  • Bivariate continuous q-Hermite polynomials and deformed quantum Serre relations
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-11-23
    W. Riley Casper; Stefan Kolb; Milen Yakimov

    We introduce bivariate versions of the continuous q-Hermite polynomials. We obtain algebraic properties for them (generating function, explicit expressions in terms of the univariate ones, backward difference equations and recurrence relations) and analytic properties (determining the orthogonality measure). We find a direct link between bivariate continuous q-Hermite polynomials and the star product

    更新日期:2020-12-01
  • One-generated nilpotent assosymmetric algebras
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-11-25
    Farukh Mashurov; Ivan Kaygorodov

    We give the classification of 5- and 6-dimensional complex one-generated nilpotent assosymmetric algebras.

    更新日期:2020-11-26
  • Comaximal factorization of lifting ideals
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-11-25
    Esmaeil Rostami; Sina Hedayat; Reza Nekooei; Somayeh Karimzadeh

    A proper ideal I of a commutative ring R is called lifting whenever idempotents of R/I lift to idempotents of R. In this paper, many of the basic properties of lifting ideals are studied and we prove and extend some well-known results concerning lifting ideals and lifting idempotents by a new approach. Furthermore, we give a necessary and sufficient condition for every proper ideal of a commutative

    更新日期:2020-11-26
  • Arithmetic modules over generalized Dedekind domains
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-11-25
    Indah Emilia Wijayanti; Hidetoshi Marubayashi; Iwan Ernanto; Sutopo

    Let M be a finitely generated torsion-free module over a generalized Dedekind domain D. It is shown that if M is a projective D-module, then it is a generalized Dedekind module and v-multiplication module. In case D is Noetherian it is shown that M is either a generalized Dedekind module or a Krull module. Furthermore, the polynomial module M[x] is a generalized Dedekind D[x]-module (a Krull D[x]-module)

    更新日期:2020-11-26
  • On classification of super-modular categories of rank 8
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-11-20
    Paul Bruillard; Julia Plavnik; Eric C. Rowell; Qing Zhang

    We develop categorical and number-theoretical tools for the classification of super-modular categories. We apply these tools to obtain a partial classification of super-modular categories of rank 8. In particular we find three distinct families of prime categories in rank 8 in contrast to the lower rank cases for which there is only one such family.

    更新日期:2020-11-22
  • Unique product groups and congruence subgroups
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-11-20
    Will Craig; Peter A. Linnell

    We prove that a uniform pro-p group with no non-abelian free subgroups has a normal series with torsion-free abelian factors. We discuss this in relation to unique product groups. We also consider generalizations of Hantzsche–Wendt groups.

    更新日期:2020-11-22
  • Partial actions and cyclic kummer’s theory
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-11-20
    Víctor Marín; Andrés Cañas; Héctor Pinedo

    We introduce a theory of cyclic Kummer extensions of commutative rings for partial Galois extensions of finite groups, extending some of the well-known results of the theory of Kummer extensions of commutative rings developed by Borevich. In particular, we provide necessary and sufficient conditions to determine when a partial n-Kummerian extension is equivalent to either a radical or an I-radical

    更新日期:2020-11-22
  • Classifying tilting modules over the Auslander algebras of radical square zero Nakayama algebras
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-11-16
    Xiaojin Zhang

    Let Λ be a radical square zero Nakayama algebra with n simple modules and let Γ be the Auslander algebra of Λ. Then every indecomposable direct summand of a tilting Γ-module is either simple or projective. Moreover, if Λ is self-injective, then the number of tilting Γ-modules is 2n; otherwise, the number of tilting Γ-modules is 2n−1.

    更新日期:2020-11-17
  • On the surjectivity of certain word maps on SU(2)
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-11-11
    Vu The Khoi; Ho Minh Toan

    In this paper, we study the word map w:SU(2)×SU(2)→SU(2), where w is a word in the free group F of rank 2. We give a necessary and sufficient condition for the surjectivity of the word map by using the trace polynomials. As applications of our method, we give example of word w∉F(2) for which the word map is not surjective. For families of words belonging to F(2) of the form [[a,b],[a,bn]] and [[a,b]

    更新日期:2020-11-12
  • Monogenic reciprocal trinomials and their Galois groups
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-11-11
    Lenny Jones

    Let Cn denote the cyclic group of order n, and let Hol(Cn) denote the holomorph of Cn. In this paper, for any odd integer m≥3, we find necessary and sufficient conditions on an integer A, with |A|≥3, such that 𝔉m,A(x)=x2m+Axm+1 is irreducible over ℚ. When m=q≥3 is prime and 𝔉q,A(x) is irreducible, we show that the Galois group over ℚ of 𝔉q,A(x) is isomorphic to either Hol(Cq) or Hol(C2q), depending

    更新日期:2020-11-11
  • Prime avoidance property
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-11-11
    A. Azarang

    Let R be a commutative ring, we say that 𝒜⊆Spec(R) has prime avoidance property, if I⊆⋃P∈𝒜P for an ideal I of R, then there exists P∈𝒜 such that I⊆P. We exactly determine when 𝒜⊆Spec(R) has prime avoidance property. In particular, if 𝒜 has prime avoidance property, then 𝒜 is compact. For certain classical rings we show the converse holds (such as Bezout rings, QR-domains, zero-dimensional rings

    更新日期:2020-11-11
  • On the dimension of ideals in group algebras, and group codes
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-11-07
    E. J. García-Claro; H. Tapia-Recillas

    Several relations and bounds for the dimension of principal ideals in group algebras are determined by analyzing minimal polynomials of regular representations. These results are used in the two last sections. First, in the context of semisimple group algebras, to compute, for any abelian code, an element with Hamming weight equal to its dimension. Finally, to get bounds on the minimum distance of

    更新日期:2020-11-09
  • Residually finite dimensional algebras and polynomial almost identities
    J. Algebra Appl. (IF 0.61) Pub Date : 2020-11-07
    Michael Larsen; Aner Shalev

    Let A be a residually finite dimensional algebra (not necessarily associative) over a field k. Suppose first that k is algebraically closed. We show that if A satisfies a homogeneous almost identity Q, then A has an ideal of finite codimension satisfying the identity Q. Using well known results of Zelmanov, we conclude that, if a residually finite dimensional Lie algebra L over k is almost d-Engel

    更新日期:2020-11-09
Contents have been reproduced by permission of the publishers.
导出
全部期刊列表>>
微生物研究
虚拟特刊
亚洲大洋洲地球科学
NPJ欢迎投稿
自然科研论文编辑
ERIS期刊投稿
欢迎阅读创刊号
自然职场,为您触达千万科研人才
spring&清华大学出版社
城市可持续发展前沿研究专辑
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
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
阿拉丁试剂right
上海中医药大学
浙江大学
西湖大学
化学所
北京大学
山东大学
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
南方科技大学
南开大学
浙江大学
天合科研
x-mol收录
试剂库存
down
wechat
bug