Mathematicae General Algebra and Applications 22(1) (2002) 5-23
COMPLETION OF A HALF LINEARLY CYCLICALLY ORDERED GROUP
Department of Mathematics, Faculty of Civil Engineering, Technical
Vysokoskolská 4, SK-042 02 Kosice, Slovakia
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
2000 AMS Mathematics Subject Classifications: Primary 06F15; Secondary 20F60.
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Received 6 June 2001