Discussiones
Mathematicae General Algebra and Applications 21(1) (2001) 31-46

doi: 10.7151/dmgaa.1025

Stefan Cernák

*Department of Mathematics, Faculty of Civil
Engineering, Technical University,
Vysokoskolská 4, SK-042 02 Kosice, Slovakia*

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.

**2000 Mathematics Subject Classification:** Primary 06F15; Secondary 20F60.

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Received 7 June 1999

Revised 30 April 1996