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Workshop on Ordered Algebraic Structures
March 9-11, 2000
Vanderbilt University
Nashville, TN, USA

Organizers
Constantine Tsinakis, Jorge Martinez

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Lattice-ordered extensions of real closed fields
by
R. H. Redfield
Hamilton College

The lattice-ordered fields which are the simplest order-theoretically are those which are finite-dimensional extensions of totally ordered fields in which all nontrivial irreducible convex totally ordered subfields have dimension one. Such fields live in lattice-ordered algebras which are finite-dimensional extensions of real closed fields. We investigate the structure of these lattice-ordered fields in the light of this embedding.

Date received: February 14, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caed-15.