Sequential convergences in -groups without Urysohn’s axiom
Sequential convergences on cyclically ordered groups
Sequential convergences on free lattice ordered groups
In this paper the partially ordered set Conv of all sequential convergences on is investigated, where is either a free lattice ordered group or a free abelian lattice ordered group.
Sequential convergences on generalized Boolean algebras
In this paper we investigate convergence structures on a generalized Boolean algebra and their relations to convergence structures on abelian lattice ordered groups.
Sequential convergences on lattice ordered groups
Sequential convergences on -algebras
Sharp and fuzzy elements of an RC-group
Sobre la geometría de la diferencia simétrica.
Some aspects of radical theory for fully ordered Abelian groups
Some examples of hyperarchimedean lattice-ordered groups
All ℓ-groups shall be abelian. An a-extension of an ℓ-group is an extension preserving the lattice of ideals; an ℓ-group with no proper a-extension is called a-closed. A hyperarchimedean ℓ-group is one for which each quotient is archimedean. This paper examines hyperarchimedean ℓ-groups with unit and their a-extensions by means of the Yosida representation, focussing on several previously open problems. Paul Conrad asked in 1965: If G is a-closed and M is an ideal, is G/M a-closed? And in 1972:...
Some properties of an archimedean -group
Some remarks on Lorenzen -group of partly ordered groups
Spaces of Vector-Valued Measurable Functions.
Spectra of autometrized lattice algebras
Autometrized algebras are a common generalization e.g. of commutative lattice ordered groups and Brouwerian algebras. In the paper, spectra of normal autometrized lattice ordered algebras (i.e. topologies of sets (and subsets) of their proper prime ideals) are studied. Especially, the representable dually residuated lattice ordered semigroups are examined.
Spitz in -groups
Splitting property of lattice ordered groups
Stenosis in dimension groups and AF C*-algebras.
Strong projectability of lattice ordered groups
In this paper we prove that the lateral completion of a projectable lattice ordered group is strongly projectable. Further, we deal with some properties of Specker lattice ordered groups which are related to lateral completeness and strong projectability.
Strongly projectable lattice ordered groups
Structural aspects of truncated archimedean vector lattices: good sequences, simple elements
The truncation operation facilitates the articulation and analysis of several aspects of the structure of archimedean vector lattices; we investigate two such aspects in this article. We refer to archimedean vector lattices equipped with a truncation as truncs. In the first part of the article we review the basic definitions, state the (pointed) Yosida representation theorem for truncs, and then prove a representation theorem which subsumes and extends the (pointfree) Madden representation theorem....