Chapter 17 Wakamatsu Tilting Modules, U-Dominant Dimension, and k-Gorenstein Modules
Zhaoyong Huang Department of Mathematics, Nanjing University, Nanjing 210093, People's …

We consider the following question: Is Gorenstein homology a X-pure homology, in the
sense defined by Warfield, for a class X of modules? Let GP denote the class of Gorenstein …

The so-called Ding-Chen ring is an n-FC ring which is both left and right coherent, and has
both left and right self FP-injective dimensions at most n for some non-negative integer n. In …

In this paper we construct Gorenstein-projective modules over Morita rings with zero
bimodule homomorphisms and we provide sufficient conditions for such rings to be …

This thesis is comprised of three chapters. The first chapter deals with bounded complexes
of Gorenstein projective and Gorenstein injective modules. Deploying methods of relative …

Let $\Lambda $ be a left and right Noetherian ring. First, for $ m, n\in\mathbb {N}\cup\{\infty\}
$, we give equivalent conditions for a given $\Lambda $-module to be $ n $-torsionfree and …

In this article, we study the relation between m-strongly Gorenstein projective (resp.,
injective) modules and n-strongly Gorenstein projective (resp., injective) modules whenever …

In this paper, we study Gorenstein injective modules over a local Noetherian ring R. For an
R-module M, we show that M is Gorenstein injective if and only if Hom R (Ȓ, M) belongs to …