… of C-Gorenstein projective modules. (… of modules of finite Gorenstein injective dimension
(Corollary 3.9). We end Section 3 with the classical Foxby duality with respect to left R-modules …

… Gorenstein projective module if and only if M is a direct summand of a strongly Gorenstein
projective module… strongly WP-Gorenstein modules, we have the dual versions on strongly WI -…

… -injective duality pair, agree with the usual definitions of Gorenstein injective, projective and
flat modules … If ( M , C ) is a perfect duality pair, then M contains all projective modules and C …

… 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 …

… a left R-module M ∈ A(R) if and only if M has finite Gorenstein projective dimension. In view
of … We only show that AC(R) contains all weak flat modules in ModR, the other proof is dual. …

… 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, …

… modules, and then give the Foxby equivalence in this setting analogous to that of C-… As a
dual of Gorenstein projective modules, Gorenstein injective modules were also introduced in [3]…

… 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. …