Modules of Gorenstein dimension zero over graph algebras

被引：1
|
作者：
Golod, E. S. [1 ]
Pogudin, G. A. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow, Russia
来源：
SBORNIK MATHEMATICS | 2016年 / 207卷 / 07期
关键词：
Gorenstein dimension; CI-dimension; TOTALLY REFLEXIVE MODULES; LOCAL-RINGS; BRAUER-THRALL; CONSTRUCTION; CATEGORY; NUMBER;
D O I：
10.1070/SM8563
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that nonfree modules of Gorenstein dimension zero over a graph algebra exist if and only if the graph is a tree. A classification of such modules is given.
引用
收藏
页码：964 / 982
页数：19
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