On uniserial modules in the Auslander-Reiten quiver

被引:5
作者
Boldt, Axel [1 ]
Mojiri, Ahmad [2 ]
机构
[1] Metropolitan State Univ, Dept Math, St Paul, MN 55106 USA
[2] Texas A&M Univ, Dept Math, Texarkana, TX 75505 USA
关键词
Auslander-Reiten quiver; uniserial modules; irreducible maps; almost split sequences;
D O I
10.1016/j.jalgebra.2007.11.026
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This article begins the study of irreducible maps involving finite-dimensional uniserial modules over finite-dimensional associative algebras. We work on the classification of irreducible maps between two uniserials over triangular algebras, and give estimates for the number of middle terms of an almost split sequence with a uniserial end term. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码:1825 / 1850
页数:26
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