Radical embeddings and representation dimension
… 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. r 2003
Elsevier Inc. All rights reserved. … For proving that a particular algebra has representation
dimension at most three, the following result of the present paper is often useful: …
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. r 2003
Elsevier Inc. All rights reserved. … For proving that a particular algebra has representation
dimension at most three, the following result of the present paper is often useful: …
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.
Elsevier
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