On some types of kernels of a convergence -group
On some varieties of weakly associative lattice groups
On summability in convergence -groups
On the affine completeness of lattice ordered groups
In the paper it is proved that a nontrivial direct product of lattice ordered groups is never affine complete.
On the completion of cyclically ordered groups
On the dynamics of (left) orderable groups
We develop dynamical methods for studying left-orderable groups as well as the spaces of orderings associated to them. We give new and elementary proofs of theorems by Linnell (if a left-orderable group has infinitely many orderings, then it has uncountably many) and McCleary (the space of orderings of the free group is a Cantor set). We show that this last result also holds for countable torsion-free nilpotent groups which are not rank-one Abelian. Finally, we apply our methods to the case of braid...
On the extension of positive operators
On the extension of subadditive measures in lattice ordered groups
A lattice ordered group valued subadditive measure is extended from an algebra of subsets of a set to a -algebra.
On the Jakubík Problem on radical classes of lattice ordered groups
On the lattice of semisimple classes of linearly ordered groups
On the lattice of torsion classes of lattice ordered groups
On the maximal Dedekind completion of a half partially ordered group
On the maximal Dedekind completion of a lattice ordered group
On the Schröder-Bernstein problem for Carathéodory vector lattices
In this note we prove that there exists a Carathéodory vector lattice such that and . This yields that is a solution of the Schröder-Bernstein problem for Carathéodory vector lattices. We also show that no Carathéodory Banach lattice is a solution of the Schröder-Bernstein problem.
On the surjectivity of the Ribenboim representation of a lattice ordered group.
On torsion classes generated by radical classes of lattice ordered groups
On value selectors and torsion classes of lattice ordered groups
On varieties of pseudo -algebras
In this paper we investigate the relation between the lattice of varieties of pseudo -algebras and the lattice of varieties of lattice ordered groups.
On weak isometries in multilattice groups
On -complete lattice ordered groups