DUALITY, LOCALIZATION AND COMPLETION

被引：4

作者：

BUESO, JL ^{[1
]}

JARA, P ^{[1
]}

VERSCHOREN, A ^{[1
]}

机构：

[1] UNIV ANTWERP,RUCA,B-2020 ANTWERP,BELGIUM

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 1994年 / 94卷 / 02期

关键词：

D O I：

10.1016/0022-4049(94)90028-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study relative duality theory, with respect to an idempotent kernel functor sigma over some commutative ring R and prove that sigma-dualizing R-modules are not only locally injective, but (somewhat surprisingly) globally injective. Using a relative version of completion, we show that the endomorphism ring of a sigma-dualizing module coincides with the completion of R with respect to sigma. In the final part of the paper we consider relative Gorenstein rings, giving an explicit calculation of their generalized local cohomology groups.

引用

页码：127 / 141

页数：15

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