Fortsetzungen extremaler Funktionale.
Frame monomorphisms and a feature of the -group of Baire functions on a topological space
“The kernel functor” from the category of archimedean lattice-ordered groups with distinguished weak unit onto LFrm, of Lindelöf completely regular frames, preserves and reflects monics. In , monics are one-to-one, but not necessarily so in LFrm. An embedding for which is one-to-one is termed kernel-injective, or KI; these are the topic of this paper. The situation is contrasted with kernel-surjective and -preserving (KS and KP). The -objects every embedding of which is KI are characterized;...
Free Archimedean l-Groups.
Free products in varieties of lattice-ordered groups
Free products of abelian -groups
Generalized Dedekind completion of a lattice ordered group
Higher degrees of distributivity in -algebras
In this paper we deal with the of an -algebra , where and are nonzero cardinals. It is proved that if is singular and -distributive, then it is . We show that if is complete then it can be represented as a direct product of -algebras which are homogeneous with respect to higher degrees of distributivity.
Holland’s theorem for pseudo-effect algebras
We give two variations of the Holland representation theorem for -groups and of its generalization of Glass for directed interpolation po-groups as groups of automorphisms of a linearly ordered set or of an antilattice, respectively. We show that every pseudo-effect algebra with some kind of the Riesz decomposition property as well as any pseudo -algebra can be represented as a pseudo-effect algebra or as a pseudo -algebra of automorphisms of some antilattice or of some linearly ordered set.
Homogeneous lattice ordered groups
Hoops and their implicational reducts (abstract)
Hypergroupes et groupes ordonnés
Integral extension procedures in weakly σ-complete lattice-ordered groups, I
Integrals on lattice-ordered groups
Isometries in ordered groups
Isometries in Riesz groups
Isometries of multilattice groups
Isomorphisms of real closed fields.
Jordan-Hahn decomposition of signed weights on Finite orthogonality spaces.
-radical classes of abelian linearly ordered groups
Lattice ordered groups having a largest convergence