Let R be a local Noetherian domain of positive characteristic. A theorem of Hochster and
Huneke [M. Hochster, C. Huneke, Infinite integral extensions and big Cohen–Macaulay …

Throughout this paper, R will denote an n-Gorenstein ring, that is, R will he a left and right
nocthcrian on botlt sides and haw self-injective dime~~ sion at most n on both sides. R …

Let R be a commutative Noetherian ring and A an Artinian R-module. We prove that if A has
finite Gorenstein injective dimension, then A possesses a Gorenstein injective envelope …

We extend the notion of virtually Gorenstein rings to the setting of arbitrary rings, and prove
that all rings R of finite Gorenstein weak global dimension are virtually Gorenstein such that …

We answer a question of Celikbas, Dao, and Takahashi by establishing the following
characterization of Gorenstein rings: a commutative noetherian local ring (R,\mathfrak m)(R …

Enochs and Jenda gave some characterizations of Gorenstein injective and projective
complexes over n-Gorenstein rings. The aim of this article is to generalize these results and …

Let=⊕∈ N0 be a homogeneous Noetherian ring with local base ring (0, 0) and that be a
finitely generated graded-module. Let+() be the-th local cohomology module of with respect …

Recently Buchsbaum and Eisenbud [3] exploited the algebra structure on a finite free
resolution of a Gorenstein ideal of codimension three to obtain a complete determinantal …

A left and right Noetherian ringRis called Gorenstein if bothRRandRRhave finite injective
dimensions. These rings were studied by Bass for the commutative case and Iwanaga for …

Let (R, 𝔪) be a commutative Noetherian local ring. In this paper we prove that if R admits a
finite module of finite Gorenstein injective dimension and maximal Krull dimension then R is …