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ArticleOriginal scientific text

Title

Relatively complemented ordered sets

Authors 1, 1

Affiliations

  1. Department of Algebra and Geometry, Palacký University of Olomouc, Tomkova 40, 779 00 Olomouc, Czech Republic

Abstract

We investigate conditions for the existence of relative complements in ordered sets. For relatively complemented ordered sets with 0 we show that each element b ≠ 0 is the least one of the set of all upper bounds of all atoms contained in b.

Keywords

ENG
modular ordered set, complemented, relatively complemented ordered set, atom

Bibliography

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Discussiones Mathematicae - General Algebra and Applications
2000/20/2
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Pages:
207-217
Main language of publication
English
Received
1998-08-21
Accepted
1999-06-07
Published
2000

DOI: 10.7151/dmgaa.1018

Exact and natural sciences