In this article, we prove that Gorenstein projectivity and injectivity with respect to a
semidualizing module are preserved under Frobenius extensions. Furthermore, we obtain …

Let (S; n) be a commutative noetherian local ring and let w in n be non-zero divisor. This
paper is concerned with the two categories of monomorphisms between finitely generated …

One of the main results of this paper is the characterization of the rings over which all
modules are strongly Gorenstein projective. We show that these kinds of rings are very …

A semi-dualizing module over a commutative noetherian ring A is a finitely generated
module C with RHomA (C, C)≃ A in the derived category D (A). We show how each such …

In this article, we investigate the change of rings theorems for the Gorenstein dimensions
over arbitrary rings. Namely, by the use of the notion of strongly Gorenstein modules, we …

In this paper, we study the pair $(\GP (R),\GP (R)^{\perp}) $ where $\GP (R) $ is the class of
all Gorenstein projective modules. We prove that it is complete hereditary cotorsion theory …

In this paper, we first study the properties of strongly Gorenstein flat (resp. Gorenstein FP-
injective) modules which are special Gorenstein projective (resp. Gorenstein injective) …

We expand on two existing characterizations of rings of Gorenstein (weak) global dimension
zero and give two new characterizations of rings of finite Gorenstein (weak) global …

Gorenstein Sequences and G, Condition Page 1 JOURNAL OF ALGEBRA 39, 349-359 (1976)
Gorenstein Sequences and G, Condition MARIA GRAZIA MARINARI* Department of …

Assume that the class of all Gorenstein (ℒ, 𝒜)-flat modules is closed under extensions. We
define a notion of Gorenstein (ℒ, 𝒜)-flat dimension for complexes and consider equivalent …