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Duality for distributive bisemilattices

Part of: Topological and differentiable algebraic systems Semigroups Other classes of algebra

Published online by Cambridge University Press:  09 April 2009

Gerhard Gierz  and
Anna Romanowska
Gerhard Gierz
Affiliation:
Department of Mathematics University of California Riverside, California 92521, U.S.A.
Anna Romanowska
Affiliation:
Institute of Mathematics Warsaw Technical University00661 Warsaw, Poland
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Abstract

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We establish a duality between distributive bisemilattices and certain compact left normal bands. The main technique in the proof utilizes the idea of Plonka sums.

MSC classification

Secondary: 20M10: General structure theory 08C05: Categories of algebras 22A30: Other topological algebraic systems and their representations
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 51 , Issue 2 , October 1991 , pp. 247 - 275
Copyright
Copyright © Australian Mathematical Society 1991

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