Module-relative-Hochschild （co）homology of tensor products

作     者：Yuan CHEN 

作者机构：School of Mathematics and Computer ScienceHubei UniversityWuhan 430062China School of Mathematical SciencesBeijing Normal UniversityBeijing 100875China 

出 版 物：《Frontiers of Mathematics in China》 (中国高等学校学术文摘·数学（英文）)

年 卷 期：2012年第7卷第3期

页      面：415-426页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：国家自然科学基金 

主　　题：Tensor product module-relative-Hochschild (co)homology formalsmoothness 

摘      要：In this paper, we consider the module-relative-Hochschild homology and cohomology of tensor products of algebras and relate them to those of the factor algebras. Moreover, we show that the tensor product is formally smooth if and only if one of its factor algebras is formally smooth and the other is separable,