On the Radical of the Module Category of an Endomorphism Algebra

被引：0
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作者：
Claudia Chaio
Victoria Guazzelli
机构：
[1] Universidad Nacional de Mar del Plata and CONICET,Centro Marplatense de Investigaciones Matemáticas, Facultad de Ciencias Exactas y Naturales
来源：
Algebras and Representation Theory | 2020年 / 23卷
关键词：
Irreducible morphisms; Degrees; Radical; tilting module;
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学科分类号：
摘要：
Given a finite dimensional algebra A over an algebraically closed field we study the relationship between the powers of the radical of a morphism in the module category of the algebra A and the induced morphism in the module category of the endomorphism algebra of a tilting A-module. We compare the nilpotency indices of the radical of the mentioned module categories. We find an upper bound for the nilpotency index of the radical of the module category of iterated tilted algebras of Dynkin type.
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页码：1159 / 1175
页数：16
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