CROSSED MODULES IN THE CATEGORY OF LODAY QD-RINEHART ALGEBRAS

被引：1

作者：

Casas, J. M. ^{[1
]}

Cetin, S. ^{[2
]}

Uslu, E. O. ^{[1
]}

机构：

[1] Univ Vigo, Dept Appl Math 1, EE Forestal, Pontevedra 36005, Spain

[2] Burdur Mehmet Akif Ersoy Univ, Dept Math, Fac Arts & Sci, Burdur, Turkey

来源：

HOMOLOGY HOMOTOPY AND APPLICATIONS | 2020年 / 22卷 / 02期

关键词：

Loday QD-algebroid; Loday QD-Rinehart algebra; derivation; abelian extension; crossed module; cohomology; NAMBU-POISSON; LEIBNIZ; EXTENSIONS;

D O I：

10.4310/HHA.2020.v22.n2.a21

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：347 / 366

页数：20

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