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Crossed modules in the category of Loday QD-Rinehart algebras
Homology, Homotopy and Applications ( IF 0.8 ) Pub Date : 2020-05-20 , DOI: 10.4310/hha.2020.v22.n2.a21 J. M. Casas 1 , S. Çetin 2 , E. Ö. Uslu 1
Homology, Homotopy and Applications ( IF 0.8 ) Pub Date : 2020-05-20 , DOI: 10.4310/hha.2020.v22.n2.a21 J. M. Casas 1 , S. Çetin 2 , E. Ö. Uslu 1
Affiliation
In this paper we introduce the notion of Loday QD-Rinehart algebra as an abstraction of Loday QD-algebroids. Additionally, we study cohomology groups, derivations, abelian extensions and crossed modules of these algebraic structures and analyze the relationships between them.
中文翻译:
Loday QD-Rinehart代数类别中的交叉模块
在本文中,我们介绍Loday QD-Rinehart代数的概念,作为Loday QD-代数的抽象。此外,我们研究这些代数结构的同调群,派生,阿贝尔扩展和交叉模块,并分析它们之间的关系。
更新日期:2020-07-20
中文翻译:
Loday QD-Rinehart代数类别中的交叉模块
在本文中,我们介绍Loday QD-Rinehart代数的概念,作为Loday QD-代数的抽象。此外,我们研究这些代数结构的同调群,派生,阿贝尔扩展和交叉模块,并分析它们之间的关系。