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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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Congruence lattices, similarity type, and congruence lattice of a subalgebra
by
William A. Lampe
University of Hawaii

We will survey the topics in the title, mentioning a few open problems and new results. Our survey will start with Walter Taylor's contributions to congruence lattice representations and similarity type. The survey will end with a discussion of the state of the problem of characterizing the pairs (Con(A), Con(B)) where B is a subalgebra of A. The connection in the middle is the need for understanding congruence lattices of algebras having a one element subalgebra.

Date received: July 11, 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-30.