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ArticleOriginal scientific text

Title

Completion of a half linearly cyclically ordered group

Authors 1

Affiliations

  1. Department of Mathematics, Faculty of Civil Engineering, Technical University, Vysokoškolská 4, SK-042 02 Košice, Slovakia

Abstract

The notion of a half lc-group G is a generalization of the notion of a half linearly ordered group. A completion of G by means of Dedekind cuts in linearly ordered sets and applying Świerczkowski's representation theorem of lc-groups is constructed and studied.

Keywords

ENG
dedekind cut, cyclically ordered group, lc-group, half lc-group, completion of a half lc-group

Bibliography

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Discussiones Mathematicae - General Algebra and Applications
2002/22/1
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Pages:
5-23
Main language of publication
English
Received
2001-06-06
Published
2002

DOI: 10.7151/dmgaa.1043

Exact and natural sciences