Products of torsion classes of lattice ordered groups
Projectability and splitting property of lattice ordered groups
In this paper we deal with the notions of projectability, spliting property and Dedekind completeness of lattice ordered groups, and with the relations between these notions.
Projectability and weak homogeneity of pseudo effect algebras
In this paper we deal with a pseudo effect algebra possessing a certain interpolation property. According to a result of Dvurečenskij and Vettterlein, can be represented as an interval of a unital partially ordered group . We prove that is projectable (strongly projectable) if and only if is projectable (strongly projectable). An analogous result concerning weak homogeneity of and of is shown to be valid.
Projectable kernel of a lattice ordered group
Propiedades topológicas de los grupos de isometría de un grupo reticulado.
This paper deals with the topological properties of groups of isometries of lattice-ordered groups and f-rings. The topologies considered are order-topology and the topology defined by null-sequences.
Quantum B-algebras
The concept of quantale was created in 1984 to develop a framework for non-commutative spaces and quantum mechanics with a view toward non-commutative logic. The logic of quantales and its algebraic semantics manifests itself in a class of partially ordered algebras with a pair of implicational operations recently introduced as quantum B-algebras. Implicational algebras like pseudo-effect algebras, generalized BL- or MV-algebras, partially ordered groups, pseudo-BCK algebras, residuated posets,...
Quasivarieties of pseudo-MV-algebras.
Radical classes of complete lattice ordered groups
Radical classes of -groups.
Radical classes of -algebras
Radical subgroups of lattice ordered groups
Radicals and complete distributivity in relatively normal lattices
Lattices in the class of algebraic, distributive lattices whose compact elements form relatively normal lattices are investigated. We deal mainly with the lattices in the greatest element of which is compact. The distributive radicals of algebraic lattices are introduced and for the lattices in with the sublattice of compact elements satisfying the conditional join-infinite distributive law they are compared with two other kinds of radicals. Connections between complete distributivity of algebraic...
Radicals in non-commutative generalizations of MV-algebras
Rechtsteilweise geordnete Gruppen
Recognizability in the lattice of convex -subgroups of a lattice-ordered group
Regular representations of semisimple MV-algebras by continuous real functions
Regulators of type of lattice ordered groups
Representation of order automorphisms by words.
Representations of cyclically ordered groups
Retract varieties of lattice ordered groups