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Discussiones Mathematicae General Algebra and Applications 22(1) (2002) 5-23
DOI: https://doi.org/10.7151/dmgaa.1043

COMPLETION OF A HALF LINEARLY CYCLICALLY ORDERED GROUP

Stefan Cernák

Department of Mathematics, Faculty of Civil Engineering, Technical University
Vysokoskolská 4, SK-042 02 Kosice, Slovakia
e-mail: svfkm@tuke.sk

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 \'Swierczkowski's representation theorem of lc-groups is constructed and studied.

 Keywords: dedekind cut, cyclically ordered group, lc-group, half lc-group, completion of a half lc-group.

 2000 AMS Mathematics Subject Classifications: Primary 06F15; Secondary 20F60.

 References

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Received 6 June 2001