We prove that for a Frobenius extension, a module over the extension ring is Gorenstein
projective if and only if its underlying module over the base ring is Gorenstein projective. For …

Let Λ be an artin algebra. We give an upper bound for the dimension of the bounded derived
category of the category mod Λ of finitely generated right Λ-modules in terms of the …

The left finitistic dimension of a left artinian ring R, denoted by lfPD (R), is defined to be the
supremum of the projective dimension of those finitely generated left R-modules which have …

We study Morita rings Λ (ϕ, ψ)= AANBBMAB Λ_(ϕ,ψ)=\left(A&_AN_B\_BM_A&B) in the
context of Artin algebras from various perspectives. First we study covariantly finite …

The main aim of this paper is to obtain a dual result to the now well known Auslander-
Bridger formula for G-dimension. We will show that if R is a complete Cohen-Macaulay ring …

Selforthogonal modules with finite injective dimension II Page 1 Journal of Algebra 264 (2003)
262–268 www.elsevier.com/locate/jalgebra Selforthogonal modules with finite injective …

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 …

We establish relations between Frobenius parts and between flat-dominant dimensions of
algebras linked by Frobenius bimodules. This is motivated by the Nakayama conjecture and …

We investigate the endomorphism algebras G of finite dimensional modules having the
property that every indecomposable finite dimensional G-module is of projective dimension …

In this paper we study the behavior of the Igusa–Todorov functions for Artin algebras A with
finite injective dimension, and Gorenstein algebras as a particular case. We show that the ϕ …