On endomorphism algebras with small homological dimensions

被引：6
|
作者：
Kleiner, M [1 ]
Skowronski, A
Zacharia, D
机构：
[1] Syracuse Univ, Dept Math, Syracuse, NY 13244 USA
[2] Nicholas Copernicus Univ, Fac Math & Informat, PL-87100 Torun, Poland
来源：
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2002年 / 54卷 / 03期
关键词：
projective and injective dimension; endomorphism algebra; triangular matrix algebra;
D O I：
10.2969/jmsj/1191593912
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the endomorphism algebras Gamma of finite dimensional modules having the property that every indecomposable finite dimensional Gamma-module is of projective dimension at most one or injective dimension at most one. In particular, we describe all matrix algebras [GRAPHICS] with this homological property.
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页码：621 / 648
页数：28
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