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 …

Full article: Gorenstein Right Derived Functors of − ⊗ −with Respect to Semidualizing
Modules Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …

Let R be a commutative Noetherian ring. In this article, we provide some new criteria for a
semidualizing module to be dualizing in terms of special homological properties of module …

Let (L, A) be a bi-complete duality pair. We consider when the relative Gorenstein modules
with respect to such a duality pair coincide with the classical homological modules. As …

시-RESOLUTIONS AND GORENSTEIN CATEGORIES WITH RESPECT TO A
SEMIDUALIZING BIMODULES 1. Introduction Auslander and Bridger [1] in Page 1 J …

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 …

We introduce and study strongly Gorenstein subcategory 𝒮 𝒢 (𝒞), relative to an additive full
subcategory 𝒞 of an abelian category 𝒜. When 𝒞 is self-orthogonal, we give some sufficient …

Let $ A $, $ B $ be two rings and $ T=\left (\begin {smallmatrix} A & M\\0 & B\\\end
{smallmatrix}\right) $ with $ M $ an $ A $-$ B $-bimodule. We first construct a semi-complete …

Let R be a ring (not necessarily commutative) and (ℒ, 𝒜) a bi-complete duality pair. We
investigate the notions of (flat-typed)(ℒ, 𝒜)-Gorenstein rings, which unify Iwanaga …

For any ring R, we show that, in the bounded derived category Db (Mod R) of le R-modules,
the subcategory of complexes with nite Gorenstein projective (resp. injective) dimension …