On modules of finite complexity over selfinjective artin algebras

Edward L. Green, Dan Zacharia

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

In this paper we study Auslander-Reiten sequences of modules with finite complexity over selfinjective artin algebras. In particular, we show that for all eventually Ω-perfect modules of finite complexity, the number of indecomposable non projective summands of the middle term of such sequences is bounded by 4. We also describe situations in which all non projective modules in a connected component of the Auslander-Reiten quiver are eventually Ω-perfect.

Original languageEnglish (US)
Pages (from-to)857-868
Number of pages12
JournalAlgebras and Representation Theory
Volume14
Issue number5
DOIs
StatePublished - Oct 1 2011

Keywords

  • Auslander-Reiten sequences
  • Complexity
  • Selfinjective

ASJC Scopus subject areas

  • Mathematics(all)

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