ON THE COHOMOLOGY COMPARISON THEOREM

被引：0
|
作者：
Stancu, Alin [1 ]
机构：
[1] Columbus State Univ, Dept Math, Columbus, GA 31907 USA
来源：
JOURNAL OF HOMOTOPY AND RELATED STRUCTURES | 2011年 / 6卷 / 01期
关键词：
Hoschschild cohomology; derived category; cohomology comparison theorem;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A relative derived category for the category of modules over a presheaf of algebras is constructed to identify the relative Yoneda and Hochschild cohomologies with its homomorphism groups. The properties of a functor between this category and the relative derived category of modules over the algebra associated to the presheaf are studied. We obtain a generalization of the Special Cohomology Comparison Theorem of M. Gerstenhaber and S. D. Schack.
引用
收藏
页码：39 / 63
页数：25
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