Sublattices of the lattice of pre-natural classes of modules

Authors
Dauns, J Zhou, YQ
Citation
J. Dauns et Yq. Zhou, Sublattices of the lattice of pre-natural classes of modules, J ALGEBRA, 231(1), 2000, pp. 138-162
Citations number
22
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF ALGEBRA
ISSN journal
00218693 → ACNP
Volume
231
Issue
1
Year of publication
2000
Pages
138 - 162
Database
ISI
SICI code
0021-8693(20000901)231:1<138:SOTLOP>2.0.ZU;2-B
Abstract
A pre-natural class of modules over a ring R is one that is closed under is omorphic copies, submodules, arbitrary direct sums, and certain essential e xtensions. The set N-r(P)(R) of all pre-natural classes is a lattice, which contains many previously studied lattices of R-module classes. The sublatt ice structure of N-r(p)(R) is studied in this paper and is related to ring and module properties of R. (C) 2000 Academic Press.