On convex linearly ordered subgroups of an -group
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 .
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.
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.
In this paper we deal with the relation for a subset of , where is an -group and is a sequential convergence on .