Infinitely generated tilting modules of finite projective dimension

Authors
Hugel, LA Coelho, FU
Citation
La. Hugel et Fu. Coelho, Infinitely generated tilting modules of finite projective dimension, FORUM MATH, 13(2), 2001, pp. 239-250
Citations number
18
Categorie Soggetti
Mathematics
Journal title
FORUM MATHEMATICUM
ISSN journal
09337741 → ACNP
Volume
13
Issue
2
Year of publication
2001
Pages
239 - 250
Database
ISI
SICI code
0933-7741(2001)13:2<239:IGTMOF>2.0.ZU;2-I
Abstract
We extend Miyashita's notion of a tilting module of finite projective dimen sion to infinitely generated modules over an arbitrary ring R and character ize the classes X subset of Mod R induced by such tilting modules in terms of the existence of X-preenvelopes. This extends results in [3] and [1].