… 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 …

… relative singularity category with respect to a self-orthogonal subcategory ω of an abelian
category… In this section, we study the relative singularity category and introduce the category of …

… that for a Gorenstein ring, the singularity category is triangle-… category of finitely-generated
Gorenstein-projective modules, … category of T-Cohen-Macaulay objects to the stable category …

… We construct the relative singularity category with respect to Gorenstein (L, A)-flat modules,
as … finite Gorenstein (L, A)-flat dimension and cotorsion dimension by the bounded homotopy …

… It is a Gorenstein version of the singularity category D s g b ( A … category, then the Gorenstein
singularity category D g p s g b ( A ) is triangle-equivalent to the Gorenstein defect category …

… the category PGF(R). Using the analogous approximations of Gorenstein flat modules by
PGF-modules and flat modules… in the category GFlat(R). Therefore, in order to realize the stable …

… triangle equivalent singularity categories. Applying this to the module category of a Gorenstein
ring, … over which the stable categories of resolving subcategories have trivial singularity …

… ) and cotorsion (resp., Gorenstein cotorsion) modules. In this paper, we … of Gorenstein
flat modules, which we call Gorenstein B -flat modules, where B is a class of right R -modules. …

… R-module is Gorenstein injective if and only if it is strongly cotorsion, and a right R-module
is Gorenstein flat if … In fact, in [10, Corollary 5.9], it is shown that for every module M with a left …

… Gorenstein flat modules. By a result of Enochs and López-Ramos [15], every module has a
Gorenstein flat … ; it shows that for finitely generated modules, the precovers found in [20] and […