Baer and Morita duality

Citation
Pn. Anh et al., Baer and Morita duality, J ALGEBRA, 232(2), 2000, pp. 462-484
Citations number
21
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF ALGEBRA
ISSN journal
00218693 → ACNP
Volume
232
Issue
2
Year of publication
2000
Pages
462 - 484
Database
ISI
SICI code
0021-8693(20001015)232:2<462:BAMD>2.0.ZU;2-6
Abstract
Grothendieck's condition AB5* is used to characterize Baer dualities, i.e, triples (R, U-R(T), T) consisting of rings R, T and a bimodule U-R(T) faith ful on both sides such that the lattices of L(R-R) and L(U-T) submodules, a s well as L(U-R) and L(T-T), are anti-isomorphic. (C) 2000 Academic Press.