… GC-flat R-modules which are more challenging to investigate than the GC-projective modules
(see for instance … Inspired by this duality, we propose the dual notion to that of self-small. …

… In this paper, we establish the result given by Foxby in a general … By the well-known local
duality theorem, there are canonical … to non-Gorenstein rings the result given by Foxby [9]. More …

… the Foxby equivalences associate to (V, W, Y, X)-Gorenstein … to unify the following notions:
X-Gorenstein projective modules [6… The following four results are dual to the previous four. …

… Since C-projective modules are always C-Gorenstein projective, we only need to show P
C - p d ( M ) ≤ C -Gpd(M). Naturally, we may assume that C- Gpd ( M ) < ∞ . By [Citation17, …

… are the cycles of exact complexes of injective modules that … clean module A; the Gorenstein
AC-projective modules are the … the dual notion, that of Gorenstein FPn-projective modules. …

… of modules, the significance of Gorenstein projective modules and Gorenstein injective
modules (… The study of these module classes has played a pivotal role in advancing relative …

… C and we find conditions for the class of G C -projective modules to be … Foxby proved that
the Auslander and Bass classes behave in a duality and that finitely generated modules in the …

… module ωR, we set G0(R) = sωR (R) and J0(R) = SωR (R). We prove that if N is a finitely
generated Gorenstein injective R-module … , Foxby duality and Gorenstein injective and projective …

… subcategories of (weak) flat modules, projective modules and AC (S) … duality theories over
commutative rings, Foxby [9] and Golod [12] introduced the so-called semidualizing modules …

… class of finitely generated Gorenstein projective modules) is … of Gorenstein projective R-modules
that come from a duality … duality pair over a n-perfect ring R, the class of Gorenstein …