Central relations on lattices-Reference-Cited by-同舟云学术

Central relations on lattices

Published:1983-12 Issue:3 Volume:35 Page:369-372
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Schweigert Dietmar

Abstract

AbstractA maximal tolerance of a lattice L without infinite chains is either a congruence or a central relation. A finite lattice L is order-polynomially complete if and only if L is simple and has no central relation.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference12 articles.

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2. Compatible relations of modular and orthomodular lattices

3. Uber die funktionale Vollständigkeit in den mehrwertigen Logiken;Rosenberg;Rozpravy Československe Akad. Věd. Řada Mat. Přirod Věd.,1970

4. On congruence lattices of lattices

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1. Some finiteness conditions in lattices—using nonstandard proof methods;Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics;1992-10

2. Tolerances and Commutators on lattices;Bulletin of the Australian Mathematical Society;1988-04

3. Compatible Orderings and Toleranges of Lattices;Orders: Description and Roles - In Set Theory, Lattices, Ordered Groups, Topology, Theory of Models and Relations, Combinatorics, Effectiveness, Social Sciences, Proceedings of the Conference on Ordered Sets and their Application Château dc la Tourcttc; Ordres: Description et Rôles - En Théorie des Treillis, des Groupes Ordonnés; en Topologie, Théorie des Modèles et des Relations, Cornbinatoire, Effectivité, Sciences Sociales, Actes de la Conférence sur ies Ensembles Ordonnés et leur Applications Château de la Tourette;1984