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.

引用

页码：667 / 692

页数：26