The Embedding of an Ordered Semigroup in an Ordered group via the Quotient Condition
The Interval Topology of an -Group
The lattice of solid -subgroups of a retractable group
The lower central series of the free partially commutative group.
The mixed product decompositions of partially ordered groups
The -free products of archimedean -groups
The objective of this paper is to give two descriptions of the -free products of archimedean -groups and to establish some properties for the -free products. Specifically, it is proved that -free products satisfy the weak subalgebra property.
The structure of a complete -group
Topological characterizations of ordered groups with quasi-divisor theory
For an order embedding of a partly ordered group into an -group a topology is introduced on which is defined by a family of valuations on . Some density properties of sets , and ( being -ideals in ) in the topological space are then investigated, each of them being equivalent to the statement that is a strong theory of quasi-divisors.
Torsion classes of Specker lattice ordered groups
In this paper we investigate the relations between torsion classes of Specker lattice ordered groups and torsion classes of generalized Boolean algebras.
Torsion radicals of lattice ordered groups
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