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Let R be a commutative Noetherian ring. It is shown that the finitely generated R-module M
with finite Gorenstein dimension is reflexive if and only if M p is reflexive for p∈ Spec (R) …

We investigate symmetry in the vanishing of Ext for finitely generated modules over local
Gorenstein rings. In particular, we define a class of local Gorenstein rings, which we call AB …

On rings with finite Gorenstein weak global dimension Page 1 Journal of Algebra and Its
Applications Vol. 22, No. 5 (2023) 2350111 (15 pages) c© World Scientific Publishing Company …

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 …

A Gorenstein Ring with Larger Dilworth Number than Sperner Number Page 1 Canad. Math.
Bull. Vol. 43 (1), 2000 pp. 100–104 A Gorenstein Ring with Larger Dilworth Number than …

In case A has finite Krull-dimension, say d, it is well-known by Bass [2] that A is a Gorenstein
ring if and only if ExtiA (M, A)=(0) for every finitely generated A-module M and for every …

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

We prove that if $ M $, $ N $ are finite modules over a Gorenstein local ring $ R $ of
codimension at most $4 $, then the vanishing of $\operatorname {Ext}^ n_R (M, N) $ for …

There is a variety of nice results about strongly Gorenstein flat modules over coherent rings.
These results are done by Ding, Lie and Mao. The aim of this paper is to generalize some of …