In this paper, we study Gorenstein projective and flat modules over a Noetherian ring R. For
an R-module M, we show that Gorenstein projective dimension of M is finite if and only if …

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 …

If M is a nonzero finitely generated module over a commutative Noetherian local ring R such
that M has finite injective dimension and finite Gorenstein dimension, then it follows from a …

Since Eilenberg and Moore [EM], the relative homological algebra, especially the
Gorenstein homological algebra ([EJ2]), has been developed to an advanced level. The …

The notion of local rings with quasi-decomposable maximal ideal was formally introduced by
Nasseh and Takahashi. In separate works, the authors of the present paper showed that …

It is well known that for Auslander algebras, the category of all (finitely generated) projective
modules is an abelian category and this property of abelianness characterizes Auslander …

Abstract We study Tate–Vogel cohomology of complexes by applying the model structure
induced by a complete hereditary cotorsion pair (A, B) of modules. Vanishing of Tate–Vogel …

On Flat and Gorenstein Flat Dimensions of Local Cohomology Modules Page 1 Canad. Math.
Bull. Vol. (), pp. – http://dx.doi.org/. /CMB---x ©Canadian Mathematical Society On Flat and …

This work is about some features of local cohomology theory. We develop a new tool called
Mayer-Vietoris spectral sequence that allows us to study several local cohomology modules …

Accepted Manuscript Page 1 Olgur Celikbas, Lars Winther Christensen, Li Liang, Greg
Piepmeyer Stable homology over associative rings Transactions of the American …