We study a natural generalization of* n-modules (and hence also of*-modules) by
introducing the notion of*∞-modules. The most important results about* n-modules (and …

It is well known that tilting modules of projective dimension⩽ 1 coincide with∗-modules
generating all injectives. This result is extended in this paper. Namely, we generalize∗ …

In the representation theory of algebras, the notion of a tilting module of finite projective
dimension (cf.[7]) is well known, and there are many papers concerning this. On the other …

We generalize basic results about classical tilting modules and partial tilting modules to the
infinite dimensional case, over an arbitrary ring R. The methods employed combine classical …

ON PARTIAL TILTING MODULES AND BOUNDED COMPLEXES Page 1 ISRAEL JOURNAL
OF MATHEMATICS 166 (2008), 17–38 DOI: 10.1007/s11856-008-1018-x ON PARTIAL TILTING …

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 …

<noindent 284 <quad G . D ’ Este For unexplained representation - theoretic terminology , we
refer to [ AF ] , <quad Page 1 <noindent 284 <quad G . D ’ Este For unexplained representation …

We study the problem of when a direct limit of tilting modules is still a tilting module. Tilting
theory first appeared in the context of finitely generated modules over artin algebras [12 …

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 …

Given two ringsRandS, we study the category equivalences T⇄ Y, where T is a torsion class
ofR-modules and Y is a torsion-free class ofS-modules. These equivalences correspond to …