The component quiver of a self-injective artin algebra

Tom 122 / 2011

Alicja Jaworska, Andrzej Skowroński Colloquium Mathematicum 122 (2011), 233-239 MSC: 16D50, 16G10, 16G70. DOI: 10.4064/cm122-2-8

Streszczenie

We prove that the component quiver ${\mit\Sigma }_A$ of a connected self-injective artin algebra $A$ of infinite representation type is fully cyclic, that is, every finite set of components of the Auslander–Reiten quiver ${\mit\Gamma }_A$ of $A$ lies on a common oriented cycle in ${\mit \Sigma }_A$.

Autorzy

  • Alicja JaworskaFaculty of Mathematics and Computer Science
    Nicolaus Copernicus University
    Chopina 12/18
    87-100 Toruń, Poland
    e-mail
  • Andrzej SkowrońskiFaculty of Mathematics and Computer Science
    Nicolaus Copernicus University
    Chopina 12/18
    87-100 Toruń, Poland
    e-mail

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