Almost split sequences were introduced by Auslander and Reiten. Their significant
importance in the representation theory of Artin algebras and groups is well-known in the …

Let A be an artin algebra, Gélinas has introduced an interesting upper bound for the finitistic
dimension fin-pro A of A, namely the delooping level del A. We assert that fin-pro A= del A …

For a finite dimensional algebra $ A $ over a field $ k $, the inherent $ A $-bimodules which
include $ A $ and its $ k $-dual $\mathrm {D}(A) $, as well as those derived from them by …

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 …

Global dimensions for endomorphism algebras of tilting modules Page 1 Global dimensions
for endomorphism algebras of tilting modules By S. GASTAMINZA, D. HAPPEL, MI PLATZECK …

In this paper, we construct derived equivalences between matrix subrings. As applications,
we calculate the global dimensions and the finitistic dimensions of some matrix subrings …

We calculate the finitistic dimension of certain stratified algebras in terms of the projective
dimension of the characteristic tilting module. This includes, in particular, quasi-hereditary …

Let $ A $ be a quasi–hereditary algebra with triangular decomposition ${_C} A_
{C^{op}}\simeq C\otimes _S C^{op} $ such that all Verma modules are semisimple over …

Based on work of Rouquier, some bounds for Aulander's representation dimension are
discussed. More specifically, if X is a reduced projective scheme of dimension n over some …

In this paper, we discuss generalizations of the concepts of good filtration dimension and
Weyl filtration dimension, introduced by Friedlander and Parshall for algebraic groups, to …