On a cancellation rule for subdirect products of lattice ordered groups and of -algebras
On a radical class of lattice ordered groups
On absolute retracts and absolute convex retracts in some classes of l-groups
By dealing with absolute retracts of l-groups we use a definition analogous to that applied by Halmos for the case of Boolean algebras. The main results of the present paper concern absolute convex retracts in the class of all archimedean l-groups and in the class of all complete l-groups.
On adjoining units to hyper-archimedean -groups
On algebraic operations of a lattice-ordered group
On automorphism groups of cyclically ordered sets.
On automorphisms of the lattice of quasivarieties of lattice-ordered groups
On Carathéodory's and Krein-Milman's theorems in fully ordered groups
On complete lattice ordered groups with strong units
On complete lattice ordered groups with two generators. I.
On complete lattice ordered groups with two generators. II.
On completions of linearly ordered groups
On constructive nilpotent groups.
On convex linearly ordered subgroups of an -group
On convexities of -groups
On covers in the lattice of representable -varieties
On cut completions of abelian lattice ordered groups
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 .
On dilations and contractions in Riesz groups
On directed groups with additional operations
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.
On directed interpolation groups