We consider selfinjective Artin algebras whose cohomology groups are finitely generated
over a central ring of cohomology operators. For such an algebra, we show that the …

The representation dimension of an artin algebra as introduced by M. Auslander in his
Queen Mary Notes is the minimal possible global dimension of the endomorphism ring of a …

We study Auslander's representation dimension of Artin algebras, which is by definition the
minimal projective dimension of coherent functors on modules which are both generators …

FINITENESS OF REPRESENTATION DIMENSION M. Auslander introduced a concept of
representation dimension of artin algebras in [A], w Page 1 PROCEEDINGS OF THE …

arXiv:0909.0330v1 [math.RT] 2 Sep 2009 Derived dimensions of representation-finite algebras
Page 1 arXiv:0909.0330v1 [math.RT] 2 Sep 2009 Derived dimensions of representation-finite …

We introduce the notion of relative hereditary Artin algebras, as a generalization of algebras
with representation dimension at most 3. We prove the following results.(1) The relative …

Let A be an Artin algebra and e be an idempotent element of A. We prove that if A has
representation dimension at most three, then the finitistic dimension of eAe is finite, and …

The importance of the representation finite Artin algebras for the whole representation theory
of Artin algebras is well understood and there is much literature on the subject (see [1, 6 …

Auslander has shown that an algebra is of finite representation type, that is, it admits only
finitely many indecomposable modules up to isomorphism, if and only if its representation …

We find a simple condition which implies finiteness of finitistic global dimension for artin
algebras. As a consequence we obtain a short proof of the finitistic global dimension …