Let R be a commutative Noetherian ring and C a semidualizing R-module. We obtain an
exact structure (ℋ C, 𝜀) and prove that the full subcategory ℋ C∩ 𝒢 ℱ C of ℋ C is a …

We first introduce in the paper the W_F-Gorenstein modules to establish the following Foxby
equivalence: \xymatrix@C=80ptG(F)∩A_C\ar@\lt0.5ex>r^C⊗_R-\amp\,\,\,\,G(W_F)\ar@\lt0 …

Let R be a right coherent ring and D b (R-Mod) the bounded derived category of left R-
modules. Denote by D^ b\left (R-Mod\right) _\left GF, C\right D b (R− M od) GF, C^ the …

We investigate the properties of categories of GC-flat R-modules where C is a semidualizing
module over a commutative noetherian ring R. We prove that the category of all GC-flat R …

It is now well known that the conditions used by Auslander to define the Gorenstein
projective modules on Noetherian rings are independent. Recently, Ringel and Zhang …

Recently, Hu et al. introduced the notion of Gorenstein FP-injective modules and
investigated a notion of Gorenstein FP-injective dimension for complexes. Let R be a left …

Let ℰ be an injectively resolving subcategory of left R-modules. We introduce and study ℰ-
Gorenstein flat modules as a common generalization of some known modules such as …

The authors introduce and investigate the T_C-Gorenstein projective, L_C-Gorenstein
injective and H_C-Gorenstein flat modules with respect to a semidualizing module C which …

We give sufficient conditions on a class of R‐modules article amssymb empty C in order for
the class of complexes of article amssymb empty C‐modules, article amssymb empty dwC …

Let (S, 𝔫) be a commutative noetherian local ring and let ω∈ 𝔫 be non-zerodivisor. This
paper is concerned with the two categories of monomorphisms between finitely generated …