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International Conference on Modern Algebra in conjunction with the 17th annual Shanks Lectures
May 21-24, 2002
Vanderbilt University
Nashville, TN, USA

Organizers
Jonathan Farley, Ralph Freese, Matthew Gould, Peter Jipsen, George McNulty, Miklos Maroti, Alexander Ol'shanskii, Steven Tschantz, Constantine Tsinakis, Matthew Valeriote

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Lattice-ordered fields of quotients
by
R. H. Redfield
Hamilton College
Coauthors: Jingjing Ma (University of Houston - Clear Lake)

The group ring of a totally ordered integral domain over a torsion-free commutative group is a lattice-ordered integral domain with respect to the coefficientwise order. If the field of quotients of this integral domain has a compatible lattice-order extending the coefficientwise order, then the group ring is convex in the field of quotients and has trivial polar. This restricts the possible orders on the field of quotients.

Date received: April 5, 2002

Copyright © 2002 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 # caig-96.