On convex linearly ordered subgroups of an -group
Ján Jakubík, Štefan Černák (2000)
Mathematica Slovaca
Ján Jakubík (1994)
Czechoslovak Mathematical Journal
N.Ya. Medvedev, S. V. Morozova (1998)
Czechoslovak Mathematical Journal
Ján Jakubík (2000)
Czechoslovak Mathematical Journal
We denote by the class of all abelian lattice ordered groups such that each disjoint subset of is finite. In this paper we prove that if , then the cut completion of coincides with the Dedekind completion of .
Milan Jasem (1990)
Časopis pro pěstování matematiky
Ján Jakubík (1993)
Mathematica Bohemica
This paper deals with a question concerning -ideals of -groups which was proposed by V. M. Kopytov and Z. J. Dimitrov. We shall also investigate a class of -groups which is in a certain sense near to the class of all lattice ordered groups.
Ján Jakubík (1990)
Czechoslovak Mathematical Journal
Ján Jakubík (1990)
Časopis pro pěstování matematiky
Ján Jakubík (1994)
Czechoslovak Mathematical Journal
G. Karpilovsky (1984)
Colloquium Mathematicae
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.
Ján Jakubík (1996)
Czechoslovak Mathematical Journal
Milan Jasem (2004)
Mathematica Slovaca
Milan Jasem (1993)
Mathematica Slovaca
Ján Jakubík (1984)
Mathematica Slovaca
Ján Jakubík (1981)
Mathematica Slovaca
Ján Jakubík (2001)
Mathematica Bohemica
In this paper we deal with the relation for a subset of , where is an -group and is a sequential convergence on .
Ján Jakubík (1983)
Czechoslovak Mathematical Journal
Ján Jakubík (1990)
Czechoslovak Mathematical Journal
Ján Jakubík (1983)
Mathematica Slovaca