We introduce the notion of a duality pair and demonstrate how the left half of such a pair is"
often" covering and preenveloping. As an application, we generalize a result by Enochs et …

Let R be a general ring. Duality pairs of R-modules were introduced by Holm-Jørgensen.
Most examples satisfy further properties making them what we call semi-complete duality …

In 1966, Auslander introduced the notion of the $ G $-dimension of a finitely generated
module over a Cohen-Macaulay noetherian ring and found the basic properties of these …

Over a commutative Noetherian ring R, the Bass invariants μi (p, M) were defined for any
module M and any prime p∈ Spec R by H. Bass (Math. Z. 82, 1963, 8-28). In the first part of …

In this article we extend the results about Gorenstein modules and Foxby duality to a non-
commutative setting. This is done in § 3 of the paper, where we characterize the Auslander …

Foxby duality has proven to be an important tool in studying the category of modules over a
local Cohen-Macaulay ring admitting a dualizing module. Recently the notion of a semi …

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 …

We describe a general correspondence between injective (resp. projective) recollements of
triangulated categories and injective (resp. projective) cotorsion pairs. This provides a model …

A ring with an Auslander dualizing complex is a generalization of an Auslander–Gorenstein
ring. We show that many results which hold for Auslander–Gorenstein rings also hold in the …

Gorenstein injective covers and envelopes over noetherian rings Page 1 PROCEEDINGS OF
THE AMERICAN MATHEMATICAL SOCIETY Volume 143, Number 1, January 2015, Pages …