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

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 …

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 …

We will study the resolution dimension of functorially finite subcategories. The subcategories
with the resolution dimension zero correspond to ring epimorphisms, and rejective …

ALGEBRAS OF FINITE SELF-INJECTIVE DIMENSION Page 1 PROCEEDINGS of the
AMERICAN MATHEMATICAL SOCIETY Volume 112, Number 3, July 1991 ALGEBRAS OF …

Let A be an Artin algebra. We denote by mod A the category of finitely generated left A-
modules. For XE mod A we denote by pdAX the projective dimension of X. For n CN we …

O. Introduction Tame hereditary Artin algebras have a lot of nice homological properties: For
instance, the categories P, Rand 1 consisting of all preprojective, regular and preinjective …

Let $\Lambda $ be an artin algebra, let $\bmod\Lambda $ be the category of finitely
generated $\Lambda-{\text {modules}} $, and let $ p {d_1}\bmod\Lambda $ be the …

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 …

Generic modules were introduced by Crawley-Boevey in order to provide a better
understanding of finite-dimensional algebras of tame representation type. In fact he has …