(Co)homology and crossed module for BiHom-associative algebras

被引：0

作者：

Huang, Danli ^{[1
]}

Liu, Ling ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2024年 / 644卷

关键词：

BiHom-associative algebra; Hochschild cohomology; Cyclic homology; Crossed module; DEFORMATIONS; COHOMOLOGY;

D O I：

10.1016/j.jalgebra.2024.01.022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

BiHom-associative algebras are generalized associative algebras with two multiplicative linear maps. In this paper, we give the Hochschild homology and cyclic homology structure of BiHom-associative algebras. Then, generalize the dual bimodule action to define the cyclic cohomology. Finally, we introduce the crossed modules of BiHom-associative algebras and show that the Hochschild cohomology of BiHomassociative algebra classifies crossed modules. (c) 2024 Elsevier Inc. All rights reserved.

引用

页码：835 / 864

页数：30

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