Starting from the notion of totally reflexive modules, we survey the theory of Gorenstein
homological dimensions for modules over commutative rings. The account includes the …

We show that the set S (R) of shift-isomorphism classes of semidualizing complexes over a
local ring R admits a nontrivial metric. We investigate the interplay between the metric and …

In this article we present a systematic study of the reflexivity properties of homologically finite
complexes with respect to semidualizing complexes in the setting of nonlocal rings. One …

We obtain various characterizations of commutative Noetherian local rings (R, m) in terms of
homological dimensions of certain finitely generated modules. Our argument has a series of …

We obtain various characterizations of commutative Noetherian local rings $(R,\fm) $ in
terms of homological dimensions of certain finitely generated modules. For example, we …

A Bass Formula for Gorenstein Injective Dimension Page 1 Communications in Algebra®, 35:
1882–1889, 2007 Copyright © Taylor & Francis Group, LLC ISSN: 0092-7872 print/1532-4125 …

Let $(R,\frak m, k) $ be a noetherian local ring. It is well-known that $ R $ is regular if and
only if the injective dimension of $ k $ is finite. In this paper it is shown that $ R $ is …

We extend Auslander and Buchsbaum's Euler characteristic from the category of finitely
generated modules of finite projective dimension to the category of modules of finite G …

There has been much speculation about the structure of the set of shift-isomorphism classes
of semidualizing complexes over a local ring. In this paper we show that this set can be …

Full article: Prethick Subcategories of Modules and Characterizations of Local Rings Skip to
Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …