A Generalization of the Nilpotency Index of the Radical of the Module Category of an Algebra

IF 0.5 4区数学 Q3 MATHEMATICS

Algebras and Representation Theory Pub Date : 2025-01-09 DOI:10.1007/s10468-024-10307-4

Claudia Chaio, Pamela Suarez

引用次数: 0

Abstract

Let A be a finite dimensional representation-finite algebra over an algebraically closed field. The aim of this work is to generalize the results proven in [8]. Precisely, we determine which vertices of \(Q_A\) are sufficient to be considered in order to compute the nilpotency index of the radical of the module category of a monomial algebra and a toupie algebra A, when the Auslander-Reiten quiver is not necessarily a component with length.

查看原文本刊更多论文

设 A 是代数闭域上的有限维表示无限代数。这项工作的目的是推广 [8] 中证明的结果。确切地说，我们要确定，当 Auslander-Reiten quiver 不一定是一个有长度的分量时，为了计算单项式代数和图元代数 A 的模类的根的无势指数，需要考虑 \(Q_A\) 的哪些顶点是足够的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Algebras and Representation Theory 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Algebras and Representation Theory features carefully refereed papers relating, in its broadest sense, to the structure and representation theory of algebras, including Lie algebras and superalgebras, rings of differential operators, group rings and algebras, C*-algebras and Hopf algebras, with particular emphasis on quantum groups. The journal contains high level, significant and original research papers, as well as expository survey papers written by specialists who present the state-of-the-art of well-defined subjects or subdomains. Occasionally, special issues on specific subjects are published as well, the latter allowing specialists and non-specialists to quickly get acquainted with new developments and topics within the field of rings, algebras and their applications.