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

**Series:** 2002-33, 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