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First Thomasina Coverly Memorial Workshop on Ordered Sets and Universal Algebra
May 24-27, 2000
Vanderbilt University
Nashville, TN, USA

Organizers
Jonathan Farley, Ralph McKenzie

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Antichains of monomial ideals are finite - or why algebraists should know about posets.
by
Diane Maclagan
University of California at Berkeley

Our main result is that there are no infinite antichains in the poset of order ideals of N^n under inclusion. Our emphasis in this talk will be on the implications of this result in computational algebra and geometric combinatorics.

Date received: May 18, 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 # cafg-04.