Geodesic
Cantor extension of a half lineary cyclically ordered group
Discussiones Mathematicae. General Algebra and Applications, Tome 21 (2001) no. 1, pp. 31-46

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Convergent and fundamental sequences are studied in a half linearly cyclically ordered group G with the abelian increasing part. The main result is the construction of the Cantor extension of G.
Keywords: convergent sequence, fundamental sequence, C-complete half lc-group, Cantor extension of a half lc-group 
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Černák, Štefan. Cantor extension of a half lineary cyclically ordered group. Discussiones Mathematicae. General Algebra and Applications, Tome 21 (2001) no. 1, pp. 31-46. http://geodesic.mathdoc.fr/item/DMGAA_2001_21_1_a3/