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Isomorphisms between semigroups of isotone maps

Part of: Semigroups Connections with other structures, applications

Published online by Cambridge University Press:  09 April 2009

Hans-J. Bandelt
Hans-J. Bandelt
Affiliation:
FB IV-Mathematik, Universität Oldenburg, D-2900 Oldenburg, West Germany
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Abstract

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Every poset with 0 is determined by various semigroups of isotone selfmaps which preserve 0. Two theorems along these lines are given and applied to some recent results concerning relation semigroups on topological spaces.

MSC classification

Secondary: 20M20: Semigroups of transformations, etc. 54H15: Transformation groups and semigroups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 30 , Issue 4 , April 1981 , pp. 453 - 460
Copyright
Copyright © Australian Mathematical Society 1981

References

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