02-33

Radical embeddings and representation dimension

by Erdmann, K.; Holm, Th.; Iyama, O.; Schröer, J.

 

Preprint series: 02-33, Preprints

MSC:
16G10 Representations of Artinian rings
16E10 Homological dimension
16G20 Representations of quivers and partially ordered sets

 

Abstract: Given a representation-finite algebra B and a subalgebra A of B such that the Jacobson radicals 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: representation dimension, finitistic dimension conjecture


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Letzte Änderung: 01.03.2018 - Ansprechpartner: Webmaster