Radical embeddings and representation dimension

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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.
16 pages

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Representation Theory, Rings and Algebras, 16E05; 16E10; 16G20

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http://salesiana.dossiersoluciones.com/handle/123456789/65406

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0210362
 http://arxiv.org/abs/math/0210362

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arXiv