We prove that, if $\textrm {GProj} $ is the class of all Gorenstein projective modules over a
ring $ R $, then $\mathfrak {GP}=(\textrm {GProj},\textrm {GProj}^\perp) $ is a cotorsion pair …

We prove that, if GProj is the class of all Gorenstein projective modules over a ring R, then
GP=(GProj, GProj⊥) is a cotorsion pair. Moreover, GP is complete when all projective …

We introduce a general version of the singular compactness theorem which makes it
possible to show that being a Σ Σ-cotorsion module is a property of the complete theory of …

In this paper, we study completeness of cotorsion pairs in the category of complexes of R-
modules. Let (A, B) be a cotorsion pair in R-Mod. It is shown that the cotorsion pair …

In this paper, we study the pair (GP(R),GP(R)^⊥) where GP(R) is the class of all Gorenstein
projective modules. We prove that it is a complete hereditary cotorsion theory, provided …

Given two (hereditary) complete cotorsion pairs $(\mathcal {X} _1,\mathcal {Y} _1) $ and
$(\mathcal {X} _2,\mathcal {Y} _2) $ in an exact category with $\mathcal {X} …

We introduce a generalization of the Gorenstein injective modules: the Gorenstein FP n-
injective modules (denoted by GI n). They are the cycles of the exact complexes of injective …

We describe a general correspondence between injective (resp. projective) recollements of
triangulated categories and injective (resp. projective) cotorsion pairs. This provides a model …

We study homological behavior of modules satisfying the Auslander condition. Assume that
AC is the class of left R-modules satisfying the Auslander condition. It is proved that each …

We study homological and homotopical aspects of Gorenstein flat modules over a ring with
respect to a duality pair $(\mathcal {L, A}) $. These modules are defined as cycles of exact …