Divisor class groups of ordered subgroups
Extensions of partially ordered partial abelian monoids
The notion of a partially ordered partial abelian monoid is introduced and extensions of partially ordered abelian monoids by partially ordered abelian groups are studied. Conditions for the extensions to exist are found. The cases when both the above mentioned structures have the Riesz decomposition property, or are lattice ordered, are treated. Some applications to effect algebras and MV-algebras are shown.
Finite-valued subgroups of lattice-ordered groups
Free group automorphisms, invariant orderings and topological applications.
Fuzzy neighborhood structures on partially ordered groups.
Groups of piecewise linear homeomorphisms of the real line.
Independence in -groups
Integral extension procedures in weakly σ-complete lattice-ordered groups, II
Isometries of multilattice groups
Konvexe gerichtete Untergruppen der Rieszschen Gruppen
Lateral and Dedekind completions of strongly projectable lattice ordered groups
Lateral completion of a projectable lattice ordered group
Lexicographic product decompositions of cyclically ordered groups
Locally partially ordered groups
Locally solid topological lattice-ordered groups
Locally solid Riesz spaces have been widely investigated in the past several decades; but locally solid topological lattice-ordered groups seem to be largely unexplored. The paper is an attempt to initiate a relatively systematic study of locally solid topological lattice-ordered groups. We give both Roberts-Namioka-type characterization and Fremlin-type characterization of locally solid topological lattice-ordered groups. In particular, we show that a group topology on a lattice-ordered group is...
L'ordre de Dehornoy sur les tresses
Median groups
Minimal varieties of -groups.
Nilpotent, weakly abelian and Hamiltonian lattice ordered groups
On adjoining units to hyper-archimedean -groups