Let (S; n) be a commutative noetherian local ring and w in n be non-zerodivisor. We propose
a natural definition of the category of Gorenstein pairs of w, by replacing projectives with …

We study Morita rings Λ (ϕ, ψ)= AANBBMAB Λ_(ϕ,ψ)=\left(A&_AN_B\_BM_A&B) in the
context of Artin algebras from various perspectives. First we study covariantly finite …

Let R be a Gorenstein ring. We first study Gorenstein orthogonal classes and Gorenstein
cotorsion pairs of R-modules. Then, we introduce the concept of Gorenstein weak tilting R …

Let R be a commutative Gorenstein ring. We call a Noether R-algebra Λ a Gorenstein R-
order provided Λ has Gorenstein dimension zero as an R-module and Λ≅ Hom R (Λ, R) as Λ …

The notion of $2 $-almost Gorenstein ring is a generalization of the notion of almost
Gorenstein ring in terms of Sally modules of canonical ideals. In this paper, we deal with two …

Let C be a semidualizing module over a commutative Noetherian ring R. We investigate
duality pairs induced by C-Gorenstein projective modules. It is proven that R is Artinian if …

For a ring R and an additive subcategory CC of the category Mod\nolimits R Mod R of left R-
modules, under some conditions, we prove that the right Gorenstein subcategory of …

The so-called Ding-Chen ring is an n-FC ring which is both left and right coherent, and has
both left and right self FP-injective dimensions at most n for some non-negative integer n. In …

Abstract Let (R, m, k) be a regular local ring of dimension 3. Let I be a Gorenstein ideal of R
of grade 3. Buchsbaum and Eisenbud proved that there is a skew-symmetric matrix of odd …

Let R be a commutative Noetherian ring. The aim of this paper is studying the properties of
relative Gorenstein modules with respect to a dualizing module. It is shown that every …