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Algebras, Lattices, Varieties - A Conference in Honor of Walter Taylor
August 15-18, 2004
University of Colorado
Boulder, Colorado, USA

Organizers
Jennifer Hyndman, Keith Kearnes, Ralph McKenzie, George McNulty, Ágnes Szendrei, Ross Willard

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Isoform lattices
by
George Gratzer
Universitry of Manitoba
Coauthors: R. W. Quackenbush and E. T. Schmidt

We call a lattice L isoform, if for any congruence relation of L, all congruence classes are isomorphic sublattices. We prove that for every finite distributive lattice D, there exists a finite, isoform lattice L such that the congruence lattice of L is isomorphic to D. We also prove that every finite lattice has a finite congruence-preserving isoform extension.

Date received: June 7, 2004

Copyright © 2004 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 # caoc-03.