## 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.

Author: Rainer Lenz urn:nbn:de:hbz:386-kluedo-14221 Preprints (rote Reihe) des Fachbereich Mathematik (331) Preprint English 2002 2002 Technische Universität Kaiserslautern Fachbereich Mathematik 510 Mathematik

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