In this paper, we study certain properties of modules of finite Gorenstein projective, injective
and flat dimensions. We examine conditions which imply that all Gorenstein projective …

We prove that the class of Gorenstein projective modules is special precovering over any left
GF-closed ring such that every Gorenstein projective module is Gorenstein flat and every …

Abstract Let A, A′, and A ″be artin algebras. We prove that if there is a recollement of the
bounded Gorenstein derived category DG (P (Mod A)) b (Mod A) relative to the bounded …

Throughout this paper, the word" ring" will mean" commutative,(associative,) Noetherian ring
with a non-zero multiplicative identity". In [9], I discussed the Cousin Complex, C (M), for a …

In this paper, we study Gorenstein injective modules over a local Noetherian ring R. For an
R-module M, we show that M is Gorenstein injective if and only if Hom R (Ȓ, M) belongs to …

In this paper we develop the homological properties of the Gorenstein $(\Le,\A) $-flat $ R $-
modules $\GF_ {(\Flat (R),\A)} $ proposed by Gillespie,\linebreak where the class …

Let R be a commutative noetherian henselian non-Gorenstein local ring of depth zero.
Denote by mod R the category of all finitely generated R-modules, and by the full …

The monomorphism category S n (X) is introduced, where X is a full subcategory of the
module category A-mod of an Artin algebra A. The key result is a reciprocity of the …

We prove that the class of Gorenstein injective modules is both enveloping and covering
over a two sided noetherian ring such that the character modules of Gorenstein injective …

Let R be a commutative Noetherian ring and A an Artinian R-module. We prove that if A has
finite Gorenstein injective dimension, then A possesses a Gorenstein injective envelope …