We extend Miyashita's notion of a tilting module of® nite projective dimension to in® nitely
generated modules over an arbitrary ring R and characterize the classes X r Mod R induced …

ALL TILTING MODULES ARE OF FINITE TYPE 1. Introduction In the early eighties Brenner
and Butler in [9] and Happel and Ringel in Page 1 PROCEEDINGS OF THE AMERICAN …

One Dimensional Tilting Modules are of Finite Type Page 1 Algebr Represent Theor (2008)
11:43–61 DOI 10.1007/s10468-007-9064-3 One Dimensional Tilting Modules are of Finite …

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 …

Tilting modules are well known, and are useful in the representation theory of artinian
algebras ([2-4, 6, 11]). The purpose of this paper is to define tilting modules of finite …

However, some aspects of the classical theory can be extended to infinitely generated
modules over arbitrary rings. In this paper, we will consider such an aspect: the relation of …

Let $ T_R $ be a right $ n $-tilting module over an arbitrary associative ring $ R $. In this
paper we prove that there exists an $ n $-tilting module $ T'_R $ equivalent to $ T_R $ which …

We show that a tilting module T over a ring R admits an exact sequence 0→ R→ T 0→ T 1→
0 such that T_0,T_1∈Add(T) and Hom R (T 1, T 0)= 0 if and only if T has the form S⊕ S/R for …

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 …

Let M be a partial tilting module with proj. dim, 1M= t and let X be an A-module such that M
EB X is a tilting module and add M n add X= O. Then X will be called a complement to M. It is …