On the Auslander-Reiten Quiver with OrientedCyclesof Representation-finite Algebras

被引：1

作者：

Yao Hailou (Department of Mathematics

机构：

来源：

数学季刊 | 1998年 / 03期

关键词：

Auslander Reiten quiver; Auslander Reiten sequences; oriented cycles; DT r periodic molules;

D O I：

暂无

中图分类号：

O153 [抽象代数（近世代数）];

学科分类号：

070104 ;

摘要：

Let A be a basic,connected finite dimensional algebra over an algebraically closed field with finite representation type, α(A) be the maximum of set consisting of numbers of indecomposable summands in the middle term of Auslander Reiten sequences in mod A. In this paper we show that if α(A)=1, then Γ A contains oriented cycles if and only if Γ A contains DT r periodic modules. When α(A)2 we give counterexamples to the assertion.

引用

页码：43 / 47

页数：5