Structure and order structure in Abelian groups
Subadditive functions on modules and subgroups of abelian groups.
Subdirect decompositions and the radical of a generalized Boolean algebra extension of a lattice ordered group
The extension of a lattice ordered group by a generalized Boolean algebra will be denoted by . In this paper we apply subdirect decompositions of for dealing with a question proposed by Conrad and Darnel. Further, in the case when is linearly ordered we investigate (i) the completely subdirect decompositions of and those of , and (ii) the values of elements of and the radical .
Subdirect product decompositions of -algebras
Subgroups and hulls of Specker lattice-ordered groups
In this article, it will be shown that every -subgroup of a Specker -group has singular elements and that the class of -groups that are -subgroups of Specker -group form a torsion class. Methods of adjoining units and bases to Specker -groups are then studied with respect to the generalized Boolean algebra of singular elements, as is the strongly projectable hull of a Specker -group.
Submeasures and Locally Solid Topologies on Riesz Spaces.
Sui gruppi e corpi ordinati
Suprema of Classes of Generalized Scrimger Varieties of Lattice Ordered Groups.