We expand on two existing characterizations of rings of Gorenstein (weak) global dimension
zero and give two new characterizations of rings of finite Gorenstein (weak) global …

We expand on two existing characterizations of rings of Gorenstein (weak) global dimension
zero and give two new characterizations of rings of finite Gorenstein (weak) global …

For a left Noetherian ring R, if the supremum of flat dimensions of all injective left R-modules
is finite, we prove that strongly cotorsion left R-modules coincide with Gorenstein injective …

Let be a left Noetherian ring satisfying the Auslander condition. It is proven that a left-module
is Gorenstein injective if and only if is strongly cotorsion and for any injective left-module; a …

Let 𝒟 be either the category of R-modules or the category of chain complexes of R-modules
and ℳ a cofibrantly generated hereditary abelian model structure on 𝒟. First, we get a new …

In this note, it is proven that if R is a right noetherian ring with id R o R<∞ and E xt R i≥ 1
(M, F)= 0 for any left R-module F with finite flat dimension, then M is Gorenstein projective; if …