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International Conference on Ordered Algebraic Structures and Related Areas
July 6-10, 1998
Nanjing University
Nanjing, China

Organizers
W.C.Holland, P.Conrad, K.Denecke, M.Giraudet, A.C.Kim, V.Kopytov, N.Y.Medvedev, I.Rival, K.P.Shum, Dao-Rong Ton, C.Tsinakis, Minxie Jiang, Kaiyao He

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Partial orders on semigroups
by
Frank A. Smith
Kent State University

We examine extensions of partial orders on semigropus with the goal of extending them to a full linear order. We give a necessary and sufficient condition for extending a partial order on an idempotent semigroup to a full order We also give necessary and sufficient conditions in the case of cancellation semigroups and show the cancellation property is necessary.

Date received: April 28, 1998

Copyright © 1998 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 # caba-08.