In commutative ring theory, the notion of Gorenstein rings has been studied widely. For rings
having finite Krull dimension, Bass showed the characterization of Gorenstein rings as rings …

We define a cotilting bimodule complex as the non-cummutative ring version of a dualizing
complex, and show that a cotilting bimodule complex includes all indecomposable injective …

In this article, we prove a similar theorem to C, Theorem 6 which holds in a more general
setting. In particular, we focus on the construction of a natural morphism giving rise to a …

We apply tilting theory to study modules of finite projective dimension. We introduce the
notion of finite and cofinite type for tilting and cotilting classes of modules, respectively …

Tilting complexes, pe categories and reck derived module categories o rings Page 1
Journal of Pure and Applied ,?Igebra 73 ( 1991) l’ I I-232 North-Holland 211 Tilting …

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

Let Mod-S denote the category of S-modules, where S is a small pre-additive category.
Using the notion of relative derived categories of functor categories, we generalize Rickard's …

Let M be a module over an associative ring R and σ [M] the category of M-subgenerated
modules. Generalizing the notion of a projective generator in σ [M], a module P∈ σ [M] is …

INTRODUCTION The purpose of this paper is to investigate a generalization of tilting theory
(see [2], 131,[4], and [7]) to finitely generated module categories over noetherian rings and to …

Homological tilting modules of finite projective dimension are investigated. They generalize
both classical and good tilting modules of projective dimension at most one, and produce …