A Simple Homological Characterization of String Algebras of Finite Representation Type

被引：0
|
作者：
Mariano Suárez-Álvarez
机构：
[1] Universidad de Buenos Aires,IMAS
来源：
Algebras and Representation Theory | 2023年 / 26卷
关键词：
String algebras; Extensions of modules; Degenerations of modules; Representation type; 16G20; 16G60; 16E35;
D O I：
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学科分类号：
摘要：
We prove that among the finite-dimensional algebras of finite representation type those that are string algebras are precisely the ones that have the property that the middle term of an arbitrary extension of indecomposable modules has at most two direct factors. On the other hand, we show that non-domestic string algebras are very far from having that property.
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页码：1759 / 1772
页数：13
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