Distributivity in lattice ordered groups
Distributivity of intervals of torsion radicals
Divisibility in certain automorphism groups
We study solvability of equations of the form in the groups of order automorphisms of archimedean-complete totally ordered groups of rank 2. We determine exactly which automorphisms of the unique abelian such group have square roots, and we describe all automorphisms of the general ones.
Divisible effect algebras and interval effect algebras
It is shown that divisible effect algebras are in one-to-one correspondence with unit intervals in partially ordered rational vector spaces.
Divisor class groups of ordered subgroups
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
Finitely axiomatizable varieties of BCK-algebras.
Finitely valued -modules, an addendum
In an -group with an appropriate operator set it is shown that the -value set can be embedded in the value set . This embedding is an isomorphism if and only if each convex -subgroup is an -subgroup. If has a.c.c. and is either representable or finitely valued, then the two value sets are identical. More generally, these results hold for two related operator sets and and the corresponding -value sets and . If is a unital -ring, then each unital -module over is an -module...
Finite-valued subgroups of lattice-ordered groups
Free group automorphisms, invariant orderings and topological applications.
Free -groups and free products of -groups
In this paper we have given the construction of free -groups generated by a po-group and the construction of free products in any sub-product class of -groups. We have proved that the -free products satisfy the weak subalgebra property.
Free products in varieties of lattice-ordered groups