Lengths of endomorphism rings of finitely generated indecomposable modules over artin algebras

被引：0

作者：

Sverre O. Smalø

Stig Venås

机构：

[1] Department of Mathematics and Statistics,

[2] Norwegian University of Science and Technology,undefined

[3] N-7055 Dragvoll,undefined

[4] Norway,undefined

来源：

Archiv der Mathematik | 1998年 / 70卷

关键词：

Representation Type; Endomorphism Ring; Indecomposable Module; Artin Algebra; Infinite Representation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper is devoted to proving the following result: An artin algebra is of infinite representation type if and only if there is no bound on the lengths of the endomorphism rings of finitely generated indecomposable modules, where the endomorphism rings are viewed as modules over themselves.

引用

页码：182 / 186

页数：4