TY - INPR
A1 - Lenz, Rainer
T1 - Functions preserving 2-series strict orders
N2 - In recent years a considerable attention was paid to an investigation of finite orders relative to different properties of their isotone functions [2,3]. Strict order relations are defined as strict asymmetric and transitive binary relations. Some algebraic properties of strict orders were already studied in [6]. For the class K of so-called 2-series strict orders we describe the partially ordered set EndK of endomorphism monoids, ordered by inclusion. It is obtained that EndK possesses a least element and in most cases defines a Boolean algebra. Moreover, every 2-series strict order is determined by its n-ary isotone functions for some natural number n.
T3 - Preprints (rote Reihe) des Fachbereich Mathematik - 332
Y1 - 2003
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1737
UR - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:hbz:386-kluedo-14231
ER -