In this paper we investigate the relationship between strongly torsion-free, maximal Cohen–
Macaulay, and strongly cotorsion modules over Cohen–Macaulay local rings via local …

In this article, we shall characterize torsionfreeness of modules with respect to a
semidualizing module in terms of the Serre's condition (Sn). As an application we give a …

We study syzygies of (maximal) Cohen–Macaulay modules over one dimensional Cohen–
Macaulay local rings. We assume that rings are generically Gorenstein. We compare these …

We study the duality for maximal Cohen-Macaulay modules (MCM modules for short) over
Cohen-Macaulay local rings. We characterize (low dimensional) rings over which any MCM …

Some criteria for the Gorenstein property - ScienceDirect Skip to main contentSkip to article
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Full article: GORENSTEIN AND Ω-GORENSTEIN INJECTIVE COVERS AND FLAT
PREENVELOPES Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …

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 …

In this paper we show that if R is a ring of Krull dimension d and M is a strongly copure flat
(respectively, strongly copure injective) module, then E⊗ RM (respectively, HomR (E, M)) is …

Reiten has demonstrated that the trivial Hochschild extension of a Cohen-Macaulay local
ring by a canonical module is a Gorenstein local ring. Here it is proved that any commutative …

We study syzygies of (maximal) Cohen-Macaulay modules over one dimensional Cohen-
Macaulay local rings. We compare these modules to Cohen-Macaulay modules over the …