Given a complete hereditary cotorsion pair-Gorenstein projective modules and study its
stability properties. As applications, we first get two model structures related to Gorenstein …

Let R by a right coherent ring and R-Mod denote the category of left R-modules. We show
that there is an abelian model structure on R-Mod whose cofibrant objects are precisely the …

We show that an iteration of the procedure used to define the Gorenstein projective modules
over a ring R yields exactly the Gorenstein projective modules. Specifically, given an exact …

Given a non-negative integer n and a ring R with identity, we construct a hereditary abelian
model structure on the category of left R-modules where the class of cofibrant objects …

A recent result by J. Šaroch and J. Šťovíček asserts that there is a unique abelian model
structure on the category of left R-modules, for any associative ring R with identity, whose …

We obtain the Gorenstein flat model structure on the category Mod (R) of left R-modules
provided R is a GF-closed ring. Our approach does not rely on the coherence of the ring and …

Let $ n $ be a non-negative integer. For any ring $ R $, the pair\$(\mathcal {PGF}
_n,\\mathcal P_n^\perp\cap\mathcal {PGF}^{\perp}) $ proves to be a complete and hereditary …

We construct new complete cotorsion pairs in the categories of modules and chain
complexes over a Gorenstein ring $ R $, from the notions of Gorenstein homological …

For a commutative ring R and a faithfully flat R-algebra S we prove, under mild extra
assumptions, that an R-module M is Gorenstein flat if and only if the left S-module S⊗ RM is …

We study approximations of modules of finite Gorenstein flat dimension by (projectively
coresolved) Gorenstein flat modules and modules of finite flat dimension. These …