Let R be a graded ring. We introduce the concepts of Ding gr-injective and Ding gr-
projective R-modules, which are the graded analogues of Ding injective and Ding projective …

Abstract Let R⊂ S be a Frobenius extension of rings and M a left S-module and let 𝓧 be a
class of left R-modules and 𝒚 a class of left S-modules. Under some conditions it is proven …

Let A and B be rings, U a (B, A)-bimodule, and T= A 0 UB the triangular matrix ring. In this
paper, several notions in relative Gorenstein algebra over a triangular matrix ring are …

We introduce and study the notion of Gorenstein silting complexes, which is a generalization
of Gorenstein tilting modules in Gorenstein-derived categories. We give the equivalent …

Over a commutative noetherian ring, we introduce a generalization of Gorenstein projective
and injective modules, which we call, respectively, n-Gorenstein projective and injective …

(n, m)-Strongly Gorenstein Projective, Injective and Flat Modules Page 1 (n, m)-Strongly
Gorenstein Projective, Injective and Flat Modules Jianmin Xing College of Mathematic and …

In this paper, we introduce and study relative Auslander--Gorenstein pairs. This consists of a
finite-dimensional Gorenstein algebra together with a self-orthogonal module that provides a …

In this paper, we construct some model structures corresponding Gorenstein (ℒ, 𝒜)-modules
and relative Gorenstein flat modules associated to duality pairs, Frobenius pairs and …

A left and right Noetherian ringRis called Gorenstein if bothRRandRRhave finite injective
dimensions. These rings were studied by Bass for the commutative case and Iwanaga for …

In this paper, we introduce and study (weak) pure-injective Gorenstein projective modules.
Let R be an Artin algebra. We prove that the category of weak pure-injective Gorenstein …