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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.
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 -