Approximations of Complete Modules by Complete Big Cohen-Macaulay Modules over a Cohen-Macaulay Local Ring

被引：7

作者：

Simon, Anne-Marie ^{[1
]}

机构：

[1] Univ Libre Bruxelles, Serv Algebre CP 211, B-1050 Brussels, Belgium

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2009年 / 12卷 / 2-5期

关键词：

Cohen-Macaulay modules; Local ring; Auslander-Buchweitz theory;

D O I：

10.1007/s10468-009-9151-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Auslander-Buchweitz theory for finitely generated modules over a Cohen-Macaulay local ring is extended to complete modules, finitely generated or not. This also allows us to extend to complete modules some other known facts concerning finitely generated ones.

引用

页码：385 / 400

页数：16

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