Representation-tame locally hereditary algebras

Tom 99 / 2004

Zbigniew Leszczyński Colloquium Mathematicum 99 (2004), 175-187 MSC: Primary 16G70, 18G20; Secondary 16G16. DOI: 10.4064/cm99-2-3

Streszczenie

Let $A$ be a finite-dimensional algebra over an algebraically closed field. The algebra $A$ is called locally hereditary if any local left ideal of $A$ is projective. We give criteria, in terms of the Tits quadratic form, for a locally hereditary algebra to be of tame representation type. Moreover, the description of all representation-tame locally hereditary algebras is completed.

Autorzy

  • Zbigniew LeszczyńskiFaculty of Mathematics and Computer Science
    Nicolaus Copernicus University
    Chopina 12/18
    87-100 Toruń, Poland
    e-mail

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