… Gorenstein cotorsion and cotorsion modules: GC-cotorsion and (strongly) CC-cotorsion. As
… that there is a unique hereditary abelian model structure on the category of left R-modules, in …

… a model structure such that the class of cofibrant objects coincides with the class GFn(R) of
all modules having Gorenstein flat … it encodes a variety of (relative) homological algebra on A. …

… Gorenstein flat, but again relative to a complete duality pair ( L , A ) . We construct a model
structure … We let GF denote the class of all Gorenstein ( L , A ) -flat modules and denote GC = …

… the class of FPn-flat modules. We say that a module M is Gorenstein FPn-projective if there
… Pérez, Model structures and relative Gorenstein flat modules and chain complexes, in: …

… strongly Gorenstein flat and Gorenstein FP-injective modules … module C gives rise to several
important classes of modules. … of flat, projective, injective and FP-injective modules relative …

… We obtain an exact structure (HC , ε) and prove that the full … An R-module M is C-Gorenstein
flat if there exists a complete … write GFC for the classes of C-Gorenstein flat R-modules. It is …

… Avramov and Foxby in [2] give applications of these new tools and … class of Gorenstein
projective complexes to get Gorenstein … We will model the definition of torsion theory relative to Ext …

… -weak injective left R-modules in the Auslander class AC(R) … a new model structure in the
category of left R-modules and … , we investigate Foxby equivalence relative to the modules of …

… structures are studied through the representation of their … study the class of Gorenstein
flat-cotorsion modules for group … Foxby [31], an R-complex F of flat R-modules is called semi-…

… In particular, we consider the class of homologically … 3], Avramov and Foxby defined the
projective (resp., injective, flat) … ), and Gorenstein flat module which is not strongly Gorenstein flat. …