HOMOLOGICAL THEORY OF IDEMPOTENT IDEALS

被引：69
|
作者：
AUSLANDER, M
PLATZECK, MI
TODOROV, G
机构：
[1] UNIV NACL SUR,DEPT MATEMAT,RA-8000 BAHIA BLANCA,ARGENTINA
[2] NORTHEASTERN UNIV,DEPT MATH,BOSTON,MA 02115
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 332卷 / 02期
关键词：
IDEMPOTENT IDEAL; PROJECTIVE RESOLUTION; QUASI-HEREDITARY ALGEBRA;
D O I：
10.2307/2154190
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let LAMBDA be an artin algebra A and a two-sided ideal of LAMBDA. Then A is the trace of a projective LAMBDA-module P in LAMBDA. We study how the homological properties of the categories of finitely generated modules over the three rings LAMBDA/A , LAMBDA and the endomorphism ring of P are related. We give some applications of the ideas developed in the paper to the study of quasi-hereditary algebras.
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页码：667 / 692
页数：26
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