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The long-standing Auslander and Reiten Conjecture states that a finitely generated module
over a finite-dimensional algebra is projective if certain Ext-groups vanish. Several authors …

The purpose of this paper is, as part of the stratification of Cohen–Macaulay rings, to
investigate the question of when the fiber products are almost Gorenstein rings. We show …

Let R be a commutative Noetherian ring. It is shown that the finitely generated R-module M
with finite Gorenstein dimension is reflexive if and only if M p is reflexive for p∈ Spec (R) …

Throughout this note the ring R is commutative Noetherian with non-zero identity. In [4]
Enochs and Jenda have introduced Extfinite R-modules. The R-module M is called Ext-finite …

Let R be a complete local Gorenstein ring of dimension one, with maximal ideal 𝔪 m. We
show that if M is a Cohen-Macaulay R-module which begins an AR-sequence, then this …

arXiv:1802.06491v2 [math.AC] 7 Apr 2018 Page 1 arXiv:1802.06491v2 [math.AC] 7 Apr 2018
TRACE IDEALS AND THE GORENSTEIN PROPERTY HAYDEE LINDO AND NINA PANDE …

Let $ A $ be an Iwanaga-Gorenstein ring. Enomoto conjectured that a self-orthogonal $ A $-
module has finite projective dimension. We prove this conjecture for $ A $ having the …

We consider two classes of modules over coherent rings: the Gorenstein FP-injective
modules, and the weakly Ding injective modules. The Gorenstein FP-injective modules are …

We characterize Ding modules and complexes over Ding-Chen rings. We show that, over a
Ding-Chen ring R, the Ding projective (respectively, Ding injective, respectively, Ding flat) R …