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 …

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

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 …

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} …

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 …

Inspired in part by recent work of\v {S} aroch and\v {S}\v {t} ov\'{\i}\v {c} ek in the setting of
Gorenstein homological algebra, we extend the notion of Foxby-Golod ${\rm G_C} …

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 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 …

For a dualizing module $ D $ over a commutative Noetherian ring $ R $ with identity, it is
known that its Auslander class $\mathscr {A} _D\left (R\right) $(respectively, Bass class …