Starting and ending components of the Auslander–Reiten quivers of a class of special biserial algebras

Volume 99 / 2004

Zygmunt Pogorzały, Mirosława Sufranek Colloquium Mathematicum 99 (2004), 111-144 MSC: 16G20, 16G70. DOI: 10.4064/cm99-1-10

Abstract

The class of $n$-fundamental algebras is introduced. It is a subclass of string algebras. For $n$-fundamental algebras we study the problem of when the Auslander–Reiten quiver contains, at the beginning or at the end, a component which is not generalized standard.

Authors

  • Zygmunt PogorzałyFaculty of Mathematics and Computer Science
    Nicolaus Copernicus University
    Chopina 12/18
    87-100 Toruń, Poland
    e-mail
  • Mirosława SufranekFaculty of Mathematics and Computer Science
    Nicolaus Copernicus University
    ul. Chopina 12/18
    87-100 Toruń, Poland

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