Tate cohomology with respect to semidualizing modules

JOURNAL OF ALGEBRA

卷:324

Article

Sather-Wagstaff, Sean¹  Sharif, Tirdad²  White, Diana³ 

[1] N Dakota State Univ, Dept Math 2750, Fargo, ND 58108 USA

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

[3] Univ Colorado, Dept Math & Stat Sci, Denver, CO 80217 USA

关键词: Abelian categories;    Balance;    Gorenstein dimensions;    Relative cohomology;    Semidualizing modules;    Tate cohomology;   

DOI  :  10.1016/j.jalgebra.2010.07.007

来源: Elsevier

【 摘 要 】

We investigate Tate cohomology of modules over a commutative noetherian ring with respect to semidualizing modules. We identify classes of modules admitting Tate resolutions and analyze the interaction between the corresponding relative and Tate cohomology modules. As an application of our approach, we prove a general balance result for Tate cohomology. Our results are based on an analysis of Tate cohomology in abelian categories. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free