Topology on regulators of lattice ordered groups. II: Completely regular regulators
Torsion classes and subdirect products of Carathéodory vector lattices
Torsion theory for lattice-ordered groups Part II: Homogeneous -groups
Totally inhomogeneous lattice ordered groups
Translation-invariant function algebras on compact abelian groups.
T-topologies on a lattice ordered group.
In this paper a characterization of the topologies on a l-group arising from a CTRO (T-topologies) is given. We use it to find conditions under which the Redfield topology comes from a CTRO.
Two theorems of functional analysis effectively equivalent to choice axioms
Über die -Potenz einer teilweise geordneten Gruppe
Über Distanzfunktionen mit Werten in angeordneten Halbgruppen.
Unequivocal linearly ordered groups
Unique -closure for some -groups of rational valued functions
Usually, an abelian -group, even an archimedean -group, has a relatively large infinity of distinct -closures. Here, we find a reasonably large class with unique and perfectly describable -closure, the class of archimedean -groups with weak unit which are “-convex”. ( is the group of rationals.) Any is -convex and its unique -closure is the Alexandroff algebra of functions on defined from the clopen sets; this is sometimes .
Unique covering on radical classes of -groups
Unital Embedding and Complexification of F-Algebras.
Upper bounds on certain functionals defined on groups of linear operators.
Valued vector spaces and abelian -groups
Weak isomorphisms of abelian lattice ordered groups
Weak Riesz groups
When has a clopen -base
It is our aim to contribute to the flourishing collection of knowledge centered on the space of minimal prime subgroups of a given lattice-ordered group. Specifically, we are interested in the inverse topology. In general, this space is compact and , but need not be Hausdorff. In 2006, W. Wm. McGovern showed that this space is a boolean space (i.e. a compact zero-dimensional and Hausdorff space) if and only if the -group in question is weakly complemented. A slightly weaker topological property...
Абстрактные ортоморфизмы и гомоморфизмы решеточно упорядоченных алгебр и их представления.
Архимедовы решеточно упорядоченные группы co свойством отщепляемости