Radical embeddings and representation dimension
Representation Theory
2007-05-23 v1 Rings and Algebras
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.
Keywords
Cite
@article{arxiv.math/0210362,
title = {Radical embeddings and representation dimension},
author = {Karin Erdmann and Thorsten Holm and Osamu Iyama and Jan Schröer},
journal= {arXiv preprint arXiv:math/0210362},
year = {2007}
}
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16 pages