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ArticleOriginal scientific text

Title

Power-ordered sets

Authors 1, 2

Affiliations

  1. Technische Universität Wien, Institut für Algebra und Computermathematik, Wiedner Hauptstraße 8-10/118, A-1040 Wien, Austria
  2. FB Mathematik, Universität Kaiserslautern, Postfach 3049, D-67653 Kaiserslautern, Germany

Abstract

We define a natural ordering on the power set (Q) of any finite partial order Q, and we characterize those partial orders Q for which (Q) is a distributive lattice under that ordering.

Keywords

ENG
partial order, chain, linear order, antichain, power set, power-ordered set, distributive lattice, anti-automorphism

Bibliography

  1. J.C. Abbott, Sets, Lattices and Boolean Algebras, Allyn & Bacon, Inc., Boston, MA, 1969.
  2. J. Naggers and H.S. Kim, Basic Posets, World Scientific Publ. Co., River Edge, NJ, 1998.
Discussiones Mathematicae - General Algebra and Applications
2002/22/1
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Pages:
39-46
Main language of publication
English
Received
2002-01-29
Published
2002

DOI: 10.7151/dmgaa.1046

Exact and natural sciences