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Radical embeddings and representation dimension

by Erdmann, K., Holm, Th., Iyama, O., Schröer, J..

Series: 2002-33, Preprints

16G10 Representations of Artinian rings
16E10 Homological dimension
16G20 Representations of quivers and partially ordered sets

Given a representation-finite algebra B and a subalgebra
A of B such that the Jacobson radicals 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.

representation dimension, finitistic dimension conjecture