Representation-tame locally hereditary algebras

• Autorzy: Zbigniew Leszczyński
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 16G70: Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers
• 18G20: Homological dimension

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2004
• Tom: 99
• Numer: 2
• Strony: 175-187

Daty

wydano

2004

Twórcy

autor

Zbigniew Leszczyński

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Identyfikatory

DOI

10.4064/cm99-2-3