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

被引：8
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.
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页码：385 / 400
页数：16
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