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

Stanisław Kasjan; Maja Sędłak — 2008

Colloquium Mathematicae

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.

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