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 …

Let T be an infinitely generated tilting module of projective dimension at most one over an
arbitrary associative ring A, and let B be the endomorphism ring of T. We prove that if T is …

We study a generalization of tilting modules to modules of possibly infinite projective
dimension, introduced by Wakamatsu in [J. Algebra 114 (1988) 106–114]. In particular, we …

Finally, let B and 8 be two rings, let 9 be a full subcategory of left R-modules closed under
direct sums and factor modules, let be a full subcategory of left S-modules containing ss and …

Given any Grothendieck category G, we study the notion of a tilting object of G, proving some
basic facts of tilting theory in this general setting. Our results apply, for instance, to …

The concept of*-module arose from a remarkable converse of the tilting theorem due to
Menini and Orsatti [25] who essentially proved that for suitable full subcategories G & R-Mod …

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 …

In [5], Miyashita introduced tilting modules of finite projective dimension. A tilting module AV
of projective dimension less or equal than r furnishes r+ 1 equivalences between …

The aim of this note is to develop a construction of tilting complexes given by Okuyama [4]
and a construction of two-sided tilting complexes given by Rouquier and Zimmermann [7] …

C. Menini and A. Orsatti [Rend. Sem. Mat. Univ. Padova 82 (1989), 203--231 (1990);
MR1049594 (91h: 16026)] introduced∗-modules in order to characterize equivalences …