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Sublattices of the Lattice of Pre-natural Classes of Modules

โœ Scribed by John Dauns; Yiqiang Zhou

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
207 KB
Volume
231
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

A pre-natural class of modules over a ring R is one that is closed under isomorphic copies, submodules, arbitrary direct sums, and certain essential extensions. The set p r R of all pre-natural classes is a lattice, which contains many previously studied lattices of R-module classes. The sublattice structure of p r R is studied in this paper and is related to ring and module properties of R

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