Weakly dicomplemented lattices and double p-algebras
by
Léonard Kwuida
Intitut für Algebra, TU Dresden

Weakly dicomplemented lattices are bounded lattices equipped with two unary operations. They were introduced by R. Wille following the need to introduce a notion of "negation" of a formal concept. A model for weakly dicomplemented lattices is the class of distributive Boolean algebras, and the purpose of much of our research is to see how far they deviate from distributive double p-algebras. In [La71] Lakser gives a description of congruences of distributive p-algebras. This result is extended to distributive double p-algebras in [Ka73] by Katriñák. We are looking for a similar description for congruences of weakly dicomplemented lattices.

Date received: January 30, 2003

Copyright © 2003 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 # cake-35.