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On domestic algebras of semiregular type

Volume 132 / 2013

Alicja Jaworska-Pastuszak, Andrzej Skowroński Colloquium Mathematicum 132 (2013), 271-294 MSC: Primary 16G60, 16G70; Secondary 16G20. DOI: 10.4064/cm132-2-7

Abstract

We describe the structure of finite-dimensional algebras of domestic representation type over an algebraically closed field whose Auslander–Reiten quiver consists of generalized standard and semiregular components. Moreover, we prove that this class of algebras contains all special biserial algebras whose Auslander–Reiten quiver consists of semiregular components.

Authors

  • Alicja Jaworska-PastuszakFaculty 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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