Embeddings into Simple Lattice-ordered Groups with Different First Order Theories.
Embeddings of Valued Groups.
Epi-archimedean groups
Equitable partitions of continuum
Every -variety satisfying the amalgamation property is representable
Extensions archimédiennes de groupes réticulés transitifs
Extensions of group retractions.
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.
Extremal units in an archimedean Riesz space