On disjoint subsets of a complete lattice ordered group
On extended cyclic orders
On group rings of ordered groups
On half cyclically 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.
On half lattice ordered groups
On intrinsic quasimetrics preserving maps on non-abelian partially ordered groups
On isometries in partially ordered groups
On isometries of lattices
On isometries of non-Abelian lattice ordered groups
On iterated limits of subsets of a convergence -group
In this paper we deal with the relation for a subset of , where is an -group and is a sequential convergence on .
On -radical classes of lattice ordered groups
On lattice ordered groups having a unique addition
On lexico extensions of lattice ordered groups
On linearly ordered subgroups of a lattice ordered group
On monotone permutations of -cyclically ordered sets
For an -cyclically ordered set with the -cyclic order let be the set of all monotone permutations on . We define a ternary relation on the set . Further, we define in a natural way a group operation (denoted by ) on . We prove that if the -cyclic order is complete and , then is a half cyclically ordered group.
On orderability of topological groups.
On ordering the groups with nilpotent commutant.
On orthogonally -complete lattice ordered groups
In this paper we prove a theorem of Cantor-Bernstein type for orthogonally -complete lattice ordered groups.
On some completeness properties for lattice ordered groups
On some interpolation rules for lattice ordered groups
Let be an infinite cardinal. In this paper we define an interpolation rule for lattice ordered groups. We denote by the class of all lattice ordered groups satisfying , and prove that is a radical class.