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 …

We show that over a right coherent left perfect ring R, a complex C of left R-modules is
Gorenstein projective if and only if C m is Gorenstein projective in R-Mod for all m∈ ℤ …

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 …

Let (R, m) denote an n-dimensional Gorenstein ring. For an ideal I⊂ R with gradeI= c we
define new numerical invariants τi, j (I) as the socle dimensions of Hmi (HIn− j (R)). In case of …

We show that a non-trivial fiber product $ S\times_k T $ of commutative noetherian local
rings $ S, T $ with a common residue field $ k $ is Gorenstein if and only if it is a …

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 …

It is well known that for a Noetherian ring R, an ideal I of R, and M a finitely generated R-
module, the local cohomology modules HiI (M) are not always finitely generated. On the …

On rings with finite Gorenstein weak global dimension Page 1 Journal of Algebra and Its
Applications Vol. 22, No. 5 (2023) 2350111 (15 pages) c© World Scientific Publishing Company …

INJECTIVE MODULES UNDER FLAT BASE CHANGE Page 1 PROCEEDINGS OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 5 0, July 1975 INJECTIVE MODULES UNDER …

The Cousin complex, C (M), for an A-module M was discussed in (7). In (8), the concept of
Gorenstein module was introduced: a non-zero, finitely generated A-module M is said to be …