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Sixth Annual Conference in Ordered Algebraic Structures
March 5-8, 2003
Department of Mathematics, Vanderbilt University
Nashville, TN, USA

Organizers
Jorge Martinez, University of Florida and Constantine Tsinakis, Vanderbilt University

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Interval relation algebras
by
Tomasz Kowalski
Japan Advanced Institute of Science and Technology (JAIST)

A standard construction produces a Boolean algebra out of any linear order. If this linear order has also some mild algebraic structure, a rather straightforward extension of the construction produces a relation algebra out of it. In fact, this gives us a way of turning linear residuated lattices satisfying certain additional conditions into relation algebras. Bjarni Jonsson's example of an infinite minimal relation algebra (the only one known so far) arises as a particular case. I will explore this connection a little further.

Date received: December 31, 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 # cakg-19.