Let (A, B) be a GP-admissible pair and (Z, W) be a GI-admissible pair of classes of objects in
an abelian category C, and consider the class π GP (ω, B, 1) of 1-periodic (ω, B)-Gorenstein …

Let $(\mathcal {A, B}) $ be a GP-admissible pair and $(\mathcal {Z, W}) $ be a GI-admissible
pair of classes of objects in an abelian category $\mathcal {C} $, and consider the class …

We present and study the concept of m-periodic Gorenstein objects relative to a pair (A, B) of
classes of objects in an abelian category, as a generalization of m-strongly Gorenstein …

Let 𝒜 be an abelian category. In this paper, we investigate the global (𝒳, 𝒴)-Gorenstein
projective dimension gl. GPD (𝒳, 𝒴)(𝒜), associated to a GP-admissible pair (𝒳, 𝒴). We give …

Benson and Goodearl [Periodic flat modules, and flat modules for finite groups, Pacific J.
Math. 196 (1)(2000) 45–67] proved that if M is a flat module over a ring R such that there …

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

Let G (X) and G (Y) be Gorenstein subcategories induced by an admissible balanced pair
(X, Y) in an abelian category A. In this paper, we establish Gorenstein homological …

We investigate the nearly Gorenstein property among d-dimensional cyclic quotient
singularities\Bbbk\llbracket x_1,\dots, x_d\rrbracket^ G kx 1,⋯, xd G, where\Bbbk k is an …

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 …

Let $ mathcal {A} $ be an abelian category with enough projective objects and $ mathcal {X}
$ be a full subcategory of $ mathcal {A} $. We define Gorenstein projective objects with …