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On cut completions of abelian lattice ordered groups

Ján Jakubík (2000)

Czechoslovak Mathematical Journal

We denote by F a the class of all abelian lattice ordered groups H such that each disjoint subset of H is finite. In this paper we prove that if G F a , then the cut completion of G coincides with the Dedekind completion of G .

On directed groups with additional operations

Ján Jakubík (1993)

Mathematica Bohemica

This paper deals with a question concerning d -ideals of d -groups which was proposed by V. M. Kopytov and Z. J. Dimitrov. We shall also investigate a class of d -groups which is in a certain sense near to the class of all lattice ordered groups.

On half cyclically ordered groups

Ján Jakubík (2002)

Czechoslovak Mathematical Journal

In this paper we introduce and investigate the notion of half cyclically ordered group generalizing the notion of half partially ordered group whose study was begun by Giraudet and Lucas.

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