Let R be a commutative Noetherian ring. In this article, we provide some new criteria for a
semidualizing module to be dualizing in terms of special homological properties of module …

The relation between the Auslander (resp., Bass) class and the class of modules with finite
Gorenstein projective (resp., injective) dimension is well known when these mentioned …

Let R and S be rings, and let R ω S be a semidualizing bimodule. We prove that there exists
a Morita equivalence between the class of∞-ω-cotorsion-free modules and a subclass of the …

A commutative noetherian ring with a dualizing complex is Gorenstein if and only if every
acyclic complex of injective modules is totally acyclic. We extend this characterization, which …

Let $ T $ be a tilting module. In this paper, Gorenstein $\pi [T] $-projective modules are
introduced and some of their basic properties are studied. Moreover, some characterizations …

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

Let R be a ring with identity and C (R) denote the category of complexes of R-modules. In
this paper we study the homotopy categories arising from projective (resp. injective) …

All rings throughout this paper are commutative and Noetherian. Semidualizing modules
were studied independently by Foxby [4], Golod [5], and Vasconcelos [11]. A finite R-module …

A semi-dualizing module over a commutative noetherian ring A is a finitely generated
module C with RHomA (C, C)≃ A in the derived category D (A). We show how each such …

In recent years, a variant of Gorenstein homological algebra has been successfully
introduced. It consists of replacing, in certain situations, the base ring by a semidualizing …