… cotorsion pairs in modules categories to study, in general infinitely generated, Cohen–Macaulay
modules and (a generalization of) modules … study of virtually Gorenstein algebras which …

… Gorenstein flat right R-modules. We call a right R-module M a weak Gorenstein cotorsion
module if M … Properties of weak Gorenstein cotorsion modules are investigated. It is shown that …

… level modules is key to extending Gorenstein homological algebra. For a general ring R, we
then call a module M Gorenstein … clean module I. To emphasize, when R is Noetherian, the …

… modules, we prove that if R is a Gorenstein ring with the injective envelope of RR flat, then a
left R-module is Gorenstein … Gorenstein injective modules and strongly cotorsion modules. In …

… -called Gorenstein cotorsion modules, ie the modules that split under Gorenstein flat modules.
… So we classify the Gorenstein cotorsion modules which are also Gorenstein flat over these …

… Like the flat modules, there is a cotorsion pair whose left hand class is GF(R), by [ŠŠ20b, …
we refer to these modules as Gorenstein cotorsion. Again similarly to the flat modules GF(R) is …

… This provides a generalization of the stable module … cotorsion pair where GP is the class
of Gorenstein AC-projectives. This provides another generalization of the stable module …

… module A; the Gorenstein AC-projective modules are the cycles of exact complexes of projective
modules … ) is a perfect cotorsion pair. Now we start with the following characterization of …

… , since C 0 is a Gorenstein cotorsion module and is a Gorenstein flat module, . So is exact. …
other hand, since C 1 is a Gorenstein cotorsion module and is a Gorenstein flat module, . So …

… )-Gorenstein projective modules and study its stability properties. As applications, we first get
two model structures related to Gorenstein flat modules … Gorenstein injective cotorsion pair ( …