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Radical embeddings and representation dimension

Karin Erdmann·Thorsten Holm·Osamu Iyama·Jan Schröer
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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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Karin Erdmann, Thorsten Holm, Osamu Iyama, Jan Schröer. 2002-10-23. Radical embeddings and representation dimension. https://arxiv.org/abs/math/0210362

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