Tate Homology of Modules of Finite Gorenstein Flat Dimension

被引：18

作者：

Liang, Li ^{[1
]}

机构：

[1] Lanzhou Jiaotong Univ, Sch Math & Phys, Lanzhou 730070, Peoples R China

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2013年 / 16卷 / 06期

关键词：

Gorenstein flat dimension; Tate flat resolution; Tate homology; COHOMOLOGY; ABSOLUTE;

D O I：

10.1007/s10468-012-9369-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce and investigate Tate homology of modules of finite Gorenstein flat dimension. In particular, we show that over a right coherent ring R, for any right R-module M of finite Gorenstein projective dimension, any R-module N of finite Gorenstein flat dimension and any i aaEuro parts per thousand a"currency sign. We also study the Tate homology of a cotorsion module of finite Gorenstein flat dimension in the paper.

引用

页码：1541 / 1560

页数：20

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