Radical classes of cyclically ordered groups
Radical classes of -algebras
Regulators of type of lattice ordered groups
Representation and duality of multiplication operators on archimedean Riesz spaces
Representation of Baire functions as continuous functions
Retracts of abelian cyclically ordered groups
Retracts of abelian lattice ordered groups
Richesses du centre d'un espace vectoriel réticulé.
Riesz spaces and the ultrafilter theorem, I
Riesz spaces of order bounded disjointness preserving operators
Let , be Archimedean Riesz spaces and be the ordered vector space of all order bounded operators from into . We define a Lamperti Riesz subspace of to be an ordered vector subspace of such that the elements of preserve disjointness and any pair of operators in has a supremum in that belongs to . It turns out that the lattice operations in any Lamperti Riesz subspace of are given pointwise, which leads to a generalization of the classic Radon-Nikod’ym theorem for Riesz homomorphisms....
Rigid extensions of -groups of continuous functions
Let , and denote the -groups of integer-valued, rational-valued and real-valued continuous functions on a topological space , respectively. Characterizations are given for the extensions to be rigid, major, and dense.