Geodesic
Completion of a half linearly cyclically ordered group
Discussiones Mathematicae. General Algebra and Applications, Tome 22 (2002) no. 1, pp. 5-23

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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: dedekind cut, cyclically ordered group, lc-group, half lc-group, completion of a half lc-group 
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Černák, Štefan. Completion of a half linearly cyclically ordered group. Discussiones Mathematicae. General Algebra and Applications, Tome 22 (2002) no. 1, pp. 5-23. http://geodesic.mathdoc.fr/item/DMGAA_2002_22_1_a0/