Let A be a finite-dimensional Gorenstein algebra of finite CM-type. We show that the
Gorenstein derived category of A has Auslander–Reiten triangles. In this case, we otain a …

Abstract Set 𝔊𝔉 (R) the class of all Gorenstein flat modules over R. In this paper, we
consider the double orthogonal classes⊥(𝔊𝔉 (R)⊥) and (⊥ 𝔊𝔉 (R))⊥ which clearly lies …

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 …

V-GORENSTEIN PROJECTIVE, INJECTIVE AND FLAT MODULES Page 1 ROCKY MOUNTAIN
JOURNAL OF MATHEMATICS Volume 42, Number 6, 2012 V-GORENSTEIN PROJECTIVE …

Let C be a faithfully balanced selforthogonal module over an Artin algebra R. We introduce
the notion of nC-star modules, which is a common generalization of n-star modules and nC …

We give some equivalent characterizations of $\mathcal {GP} $, the class of Gorenstein
$(\mathcal {L},\mathcal {A}) $-projective modules, and construct some model structures …

We give a construction of Gorenstein projective $\tau $-tilting modules in terms of tensor
products of modules. As a consequence, we give a class of non-self-injective algebras …

Let R be an artin algebra. We prove that a tilting R-module ω is cotilting if and only if every
finitely generated R-module has finite ω-Gorenstein resolution dimension and that a cotilting …

Let $ R $ be a commutative noetherian ring. Enochs and Huang [EH] proved that over a
Gorenstein ring of Krull dimension $ d $, every Gorenstein injective module admits a …

In\cite {Ouarghi}, the authors discuss the rings over which all modules are strongly
Gorenstein projective. In this paper, we are interesting to an extension of this idea. Thus, we …