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International Conference on Ordered Algebraic Structures and Related Areas
July 6-10, 1998
Nanjing University
Nanjing, China

Organizers
W.C.Holland, P.Conrad, K.Denecke, M.Giraudet, A.C.Kim, V.Kopytov, N.Y.Medvedev, I.Rival, K.P.Shum, Dao-Rong Ton, C.Tsinakis, Minxie Jiang, Kaiyao He

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On the lattice of compatible relations on algebras
by
Branimir Šešelja
University of Novi Sad

A framework for the study of lattices of compatible relations in algebras are presented. The framework applies on congruences, tolerances, quasi-orders and other similar types of relations. All those lattices are algebraic, with a particular role of the diagonal relation. Necessary and sufficient conditions under which these lattices satisfy some identities or laws are given (modularity, distributivity, complementedness, to be a Boolean, and so on). Some special properties of these lattices for particular classes of algebras are also given.

Date received: May 1, 1998

Copyright © 1998 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 # caba-11.