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Physical Sciences and Mathematics Commons

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Loyola Marymount University and Loyola Law School

Series

1994

Articles 1 - 2 of 2

Full-Text Articles in Physical Sciences and Mathematics

Lattice-Ordered Algebras That Are Subdirect Products Of Valuation Domains, Melvin Henriksen, Suzanne Larson, Jorge Martinez, R. G. Woods Sep 1994

Lattice-Ordered Algebras That Are Subdirect Products Of Valuation Domains, Melvin Henriksen, Suzanne Larson, Jorge Martinez, R. G. Woods

Mathematics Faculty Works

An f-ring (i.e., a lattice-ordered ring that is a subdirect product pf totally ordered rings) A is called an SV-ring if AIP is a valuation domain for every prime ideal P of A. If M is a maximal e-ideal of A,then the rank of A at M is the number of minimal prime ideals of A contained in M, rank of A is the sup of the ranks of A at each of its maximal e-ideals. If the latter is a positive integer, then A is said to have finite rank, and if A = C(X) is the ring of …


A Simple Description Of Coherence, William Moebs, Jeff Sanny Jan 1994

A Simple Description Of Coherence, William Moebs, Jeff Sanny

Physics Faculty Works

No abstract provided.