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On selfinjective artin algebras having nonperiodic generalized standard Auslander–Reiten components

Volume 96 / 2003

Andrzej Skowroński, Kunio Yamagata Colloquium Mathematicum 96 (2003), 235-244 MSC: 16D50, 16G10, 16G60, 16G70. DOI: 10.4064/cm96-2-8

Abstract

We describe the structure of all selfinjective artin algebras having at least three nonperiodic generalized standard Auslander–Reiten components. In particular, all selfinjective artin algebras having a generalized standard Auslander–Reiten component of Euclidean type are described.

Authors

  • Andrzej SkowrońskiFaculty of Mathematics
    and Computer Science
    Nicolaus Copernicus University
    Chopina 12/18
    87-100 Toruń, Poland
    e-mail
  • Kunio YamagataDepartment of Mathematics
    Tokyo University
    of Agriculture and Technology
    Nakacho 2-24-16, Koganei
    Tokyo 184-8588, Japan
    e-mail

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