… One of the goals of the present paper is to construct approximations by relative Gorenstein
flat modules. Given a Grothendieck category G, a subcategory A of objects of G, and an object …

… R-module C, we introduce and study new concepts of relative Gorenstein cotorsion and
cotorsion modules: … of left R-modules, in which the cofibrations are the monomorphisms with GC-…

… Assuming closure under extensions for relative Gorenstein flat modules, we will be able …
modules are the cofibrant objects. As a consequence, we will obtain Gillespie’s Gorenstein flat …

… a “module”, we always mean a left Rmodule. The motivation of this paper is to establish a
Gorenstein flat … Which subcategory associated to the category GF of all Gorenstein flat modules …

… modules and Gorenstein flat modules. The strongly … modules and Gorenstein flat modules.
In Section 3, we define and investigate the strongly Gorenstein flat dimension for modules and …

… modules instead of finitely presented modules introduced the notion of Gorenstein weak
injective and Gorenstein weak flat modules, and then homological behavior of these modules …

… We construct the relative singularity category with respect to Gorenstein (L,A)-flat modules, …
of all complexes with both finite Gorenstein (L,A)-flat dimension and cotorsion dimension by …

… between weak Gorenstein injective and weak Gorenstein flat modules. … weak Gorenstein
flat modules. We also study the connection between weak Gorenstein injective and flat modules…

… -modules, Y be a class of right R-modules. In this article, we introduce and study Gorenstein
( X , Y ) -flat modules … In [Citation7], Estrada, Iacob and Péres studied relative Gorenstein flat …

… case, we introduce Gorenstein gr-flat modules. Gorenstein flat modules were studied in [5] …
In these papers, the authors characterize this class of modules in the case of Gorenstein rings. …