Scholarlink

<p>Let <i>A</i> be a finite dimensional representation-finite algebra over an algebraically closed field. The aim of this work is to generalize the results proven in [<CitationRef CitationID="CR8">8</CitationRef>]. Precisely, we determine which vertices of <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10468_2024_10307_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="27" /> </InlineMediaObject> <EquationSource Format="TEX">\(Q_A\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>Q</mi> <mi>A</mi> </msub> </math></EquationSource> </InlineEquation> 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 <i>A</i>, when the Auslander-Reiten quiver is not necessarily a component with length.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

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

  • 期刊论文

  • 发表日期：

    2025年1月9日

查看全文
  • Claudia Chaio,
  • Pamela Suarez

摘要

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 \(Q_A\) 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.