We prove that, for any n≥ 2, the classes of FP n-injective modules and of FP n-flat modules
are both covering and preenveloping over any ring R. This includes the case of FP∞ …

It is known that over an Iwanaga–Gorenstein ring the Gorenstein injective (Gorenstein
projective, Gorenstein flat) modules are simply the cycles of acyclic complexes of injective …

One of the open problems in Gorenstein homological algebra is: when is the class of
Gorenstein injective modules closed under arbitrary direct limits? It is known that if the class …

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 …

Gorenstein homological algebra is an important area of mathematics, with applications in
commutative and noncommutative algebra, model category theory, representation theory …

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 consider a two sided noetherian ring R such that the character modules of Gorenstein
injective left R-modules are Gorenstein flat right R-modules. We then prove that the class of …

In this paper, we construct some model structures corresponding Gorenstein (ℒ, 𝒜)-modules
and relative Gorenstein flat modules associated to duality pairs, Frobenius pairs and …

本文介绍了Gorenstein 内射模的类GI 上的严格的Mittag-Leffler 模, 并用余挠对证明了GI-
投射模在Gorenstein 内射模的类GI 上的严格的Mittag-Leffler 模的一些同调性质. Abstract: In …

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 …