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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