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Isotone mappings of levelled strict orders

  • Strict order relations are defined as strict asymmetric and transitive binary relations. For classes of so-called levelled strict orders it is analyzed, under which conditions the endomorphism monoids of two relations coincide; in particular the case of direct sums of strict antichains is studied. Further, it is shown that these orders differ in their sets of binary order preserving functions.

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Metadaten
Author:Rainer Lenz
URN (permanent link):urn:nbn:de:hbz:386-kluedo-14221
Serie (Series number):Preprints (rote Reihe) des Fachbereich Mathematik (331)
Document Type:Preprint
Language of publication:English
Year of Completion:2002
Year of Publication:2002
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2006/05/16
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011