Presentation of power-ordered sets

  • Power-ordered sets are not always lattices. In the case of distributive lattices we give a description by disjoint of chains. Finite power-ordered sets have a polarity. We introduct the leveled lattices and show examples with trivial tolerance. Finally we give a list of Hasse diagrams of power-ordered sets.

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Metadaten
Author:Dietmar Schweigert
URN (permanent link):urn:nbn:de:hbz:386-kluedo-11713
Serie (Series number):Preprints (rote Reihe) des Fachbereich Mathematik (320)
Document Type:Preprint
Language of publication:English
Year of Completion:2000
Year of Publication:2000
Publishing Institute:Technische Universität Kaiserslautern
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:510 Mathematik

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