A+ CATEGORY SCIENTIFIC UNIT

On derived equivalence classification of gentle two-cycle algebras

Volume 112 / 2008

Grzegorz Bobiński, Piotr Malicki Colloquium Mathematicum 112 (2008), 33-72 MSC: 18E30, 16G20. DOI: 10.4064/cm112-1-3

Abstract

We classify, up to derived (equivalently, tilting-cotilting) equivalence, all nondegenerate gentle two-cycle algebras. We also give a partial classification and formulate a conjecture in the degenerate case.

Authors

  • Grzegorz BobińskiFaculty of Mathematics and Computer Science
    Nicolaus Copernicus University
    Chopina 12/18
    87-100 Toruń, Poland
    e-mail
  • Piotr MalickiFaculty of Mathematics and Computer Science
    Nicolaus Copernicus University
    Chopina 12/18
    87-100 Toruń, Poland
    e-mail

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