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
收藏
页码：347 / 366
页数：20
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