A+ CATEGORY SCIENTIFIC UNIT

Selfinjective algebras of euclidean type with almost regular nonperiodic Auslander–Reiten components

Volume 88 / 2001

Grzegorz Bobiński, Andrzej Skowroński Colloquium Mathematicum 88 (2001), 93-120 MSC: 16D50, 16G20, 16G60, 16G70. DOI: 10.4064/cm88-1-8

Abstract

We give a complete description of finite-dimensional selfinjective algebras of Euclidean tilted type over an algebraically closed field whose all nonperiodic Auslander–Reiten components are almost regular. In particular, we describe the tame selfinjective finite-dimensional algebras whose all nonperiodic Auslander–Reiten components are almost regular and generalized standard.

Authors

  • Grzegorz BobińskiFaculty of Mathematics and Computer Science
    Nicholas Copernicus University
    Chopina 12/18
    87-100 Toru/n, Poland
    e-mail
  • Andrzej SkowrońskiFaculty of Mathematics and Computer Science
    Nicholas Copernicus University
    Chopina 12/18
    87-100 Toru/n, Poland
    e-mail

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