Radical embeddings and representation dimension

Details Radical embeddings and representation dimension Radical embeddings and representation dimension

2002-10-23

arxiv.org/abs/math/0210362v1

Mathematics

Representation Theory

16 pages

Scientific paper

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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