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

Stanisław Kasjan, and Maja Sędłak. "An isomorphism problem for algebras defined by some quivers and nonadmissible ideals." Colloquium Mathematicae 112.1 (2008): 1-21. <http://eudml.org/doc/283863>.

@article{StanisławKasjan2008,
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.},
author = {Stanisław Kasjan, Maja Sędłak},
journal = {Colloquium Mathematicae},
keywords = {path algebras of quivers; admissible ideals; Auslander-Reiten quivers; Morita equivalences},
language = {eng},
number = {1},
pages = {1-21},
title = {An isomorphism problem for algebras defined by some quivers and nonadmissible ideals},
url = {http://eudml.org/doc/283863},
volume = {112},
year = {2008},
}

TY - JOUR
AU - Stanisław Kasjan
AU - Maja Sędłak
TI - An isomorphism problem for algebras defined by some quivers and nonadmissible ideals
JO - Colloquium Mathematicae
PY - 2008
VL - 112
IS - 1
SP - 1
EP - 21
AB - 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.
LA - eng
KW - path algebras of quivers; admissible ideals; Auslander-Reiten quivers; Morita equivalences
UR - http://eudml.org/doc/283863
ER -