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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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A Galois connection between operations and relations and an application to Tame Congruence Theory
by
Reinhard Pöschel
Institut für Algebra, TU Dresden, Germany

The Galois connection incuced by ``a function preserves a relation'' can be used to describe properties of algebras by invariant relations. Several applications will be shown, e.g. the characterization of minimal algebras (in the sense of Tame Congruence Theory) by a ternary relation.

Date received: January 4, 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-52.