An isomorphism problem for algebras defined by some quivers and nonadmissible ideals

• Autorzy: Stanisław Kasjan , Maja Sędłak
• Języki publikacji: EN

Abstrakty

EN

Given a quiver Q, a field K and two (not necessarily admissible) ideals I, I' in the path algebra KQ, we study the problem when the factor algebras KQ/I and KQ/I' of KQ are isomorphic. Sufficient conditions are given in case Q is a tree extension of a cycle.

Kategorie tematyczne

• 16G20: Representations of quivers and partially ordered sets
• 16G70: Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 112
• Numer: 1
• Strony: 1-21

Daty

wydano

2008

Twórcy

autor

Stanisław Kasjan

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

autor

Maja Sędłak

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

Identyfikatory

DOI

10.4064/cm112-1-1