Presentation of power-ordered sets

Dietmar Schweigert · Publication Server of Kaiserslautern University of Technology (Kaiserslautern University of Technology) · 2000

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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