ON GORENSTEIN INJECTIVITY OF TOP LOCAL COHOMOLOGY MODULES

被引：5

作者：

Yoshizawa, Takeshi ^{[1
]}

机构：

[1] Okayama Univ, Grad Sch Nat Sci & Technol, Okayama 7008530, Japan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2012年 / 140卷 / 06期

关键词：

Local cohomology; Gorenstein injective module; STRONGLY TORSION-FREE; HOMOLOGICAL DIMENSIONS; PROJECTIVE-MODULES; RINGS; FLAT;

D O I：

10.1090/S0002-9939-2011-11059-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

R. Sazeedeh showed that top local cohomology modules are Gorenstein injective in a Gorenstein local ring with at most two dimensions. In this paper, it is proved that the condition of dimension in his result cannot be relaxed and the conclusion in his result holds for complete local hypersurface rings with any dimension.

引用

页码：1897 / 1907

页数：11