An isomorphism problem for algebras defined by some quivers and nonadmissible ideals
Volume 112 / 2008
Colloquium Mathematicum 112 (2008), 1-21
MSC: 16G20, 16G70.
DOI: 10.4064/cm112-1-1
Abstract
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.
