Radical embeddings and representation dimension
Karin Erdmann, Thorsten Holm, Osamu Iyama, Jan Schröer
Abstract
Given a representation-finite algebra B and a subalgebra A of B such that the Jacobson radicals of A and B coincide, we prove that the representation dimension of A is at most three. By a result of Igusa and Todorov, this implies that the finitistic dimension of A is finite.
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