SOME CHARACTERIZATIONS OF GORENSTEIN LOCAL RINGS IN TERMS OF G-DIMENSION
1. Introduction and Preliminary Throughout the present Page 1 SOME CHARACTERIZATIONS …

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 …

Let A be a commutative local Noetherian ring with identity of Krull dimension n, m its
maximal ideal. Sharp has proved that if A is Cohen-Macauley and a homomorphic image of …

In this paper we study relative and Tate cohomology of modules of finite Gorenstein injective
dimension. Using these cohomology theories, we present variations of Grothendieck local …

Some criteria for the Gorenstein property - ScienceDirect Skip to main contentSkip to article
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FALTINGS’ THEOREM FOR THE ANNIHILATION OF LOCAL COHOMOLOGY MODULES OVER
A GORENSTEIN RING 1. Introduction Let A be a commutati Page 1 PROCEEDINGS OF THE …

In this paper, we show that if R is a local Cohen–Macaulay ring admitting a dualizing module
Ω, then Ω-Gorenstein projective and flat covers and Ω-Gorenstein injective envelopes exist …

Let R be a commutative noetherian henselian non-Gorenstein local ring. The author has
conjectured in [R. Takahashi, On the category of modules of Gorenstein dimension zero …

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 …

THE EXISTENCE OF GORENSTEIN FLAT COVERS Page 1 MATH. SCAND. 94 (2004), 46-62
THE EXISTENCE OF GORENSTEIN FLAT COVERS EDGAR Ε. ENOCHS, OVERTOUN ΜGJENDA …