Cycle-finite algebras having finitely many indecomposable modules lying on short paths with injective source and projective target

被引：1

作者：

Skowyrski, Adam ^{[1
]}

机构：

[1] Nicolaus Copernicus Univ, Fac Math & Comp Sci, PL-87100 Torun, Poland

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2016年 / 220卷 / 01期

关键词：

AUSLANDER-REITEN COMPONENTS; NUMBER; MIDDLE;

D O I：

10.1016/j.jpaa.2015.06.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we describe the structure of artin algebras A for which any cycle of indecomposable finitely generated (right) A-modules is finite and almost all indecomposable (finitely generated) A-modules do not lie on short paths with injective source and projective target. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：364 / 381

页数：18

共 3 条

[1] CYCLE-FINITE ALGEBRAS WITH FINITELY MANY τ-RIGID INDECOMPOSABLE MODULES
Malicki, Piotr
Skowronski, Andrzej
COMMUNICATIONS IN ALGEBRA, 2016, 44 (05) : 2048 - 2057
[2] CYCLE-FINITE ALGEBRAS WITH ALMOST ALL INDECOMPOSABLE MODULES OF PROJECTIVE OR INJECTIVE DIMENSION AT MOST ONE
Skowyrski, Adam
COLLOQUIUM MATHEMATICUM, 2013, 132 (02) : 239 - 270
[3] EXISTENCE OF CYCLE-FINITE ALGEBRAS OF INFINITE REPRESENTATION TYPE WITHOUT DIRECTING PROJECTIVE OR INJECTIVE MODULES
Malicki, Piotr
Antonio de la Pena, Jose
Skowronski, Andrzej
COLLOQUIUM MATHEMATICUM, 2017, 148 (02) : 165 - 190

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