Cantor extension of a half lattice ordered group
Cantor extension of a half lineary cyclically ordered group
Convergent and fundamental sequences are studied in a half linearly cyclically ordered group G with the abelian increasing part. The main result is the construction of the Cantor extension of G.
Cantor-Bernstein theorem for lattice ordered groups
Cantor-Bernstein theorem for -algebras
Cardinal properties of lattice ordered groups
Cardinal sums of linearly ordered groups
Characterization of all order relations in direct sums of ordered groups.
Circular totally semi-ordered groups
Closed and open sets in topologies induced by lattice ordered vector groups
Closure operators on radical classes of lattice-ordered groups
Closure operators on the lattice of radical classes of lattice ordered groups
Combinatorial fans, lattice-ordered groups, and their neighbours: A short excursion.
Complete distributivity and -convergence
Complete distributivity of lattice ordered groups and of vector lattices
In this paper we investigate the possibility of a regular embedding of a lattice ordered group into a completely distributive vector lattice.
Complete permutability of partitions in a set. I
Complete retract mappings of a complete lattice ordered group
Completely subdirect products of directed sets
This paper deals with directly indecomposable direct factors of a directed set.
Completion of a cyclically ordered group
Completion of a half linearly cyclically ordered group
The notion of a half lc-group G is a generalization of the notion of a half linearly ordered group. A completion of G by means of Dedekind cuts in linearly ordered sets and applying Świerczkowski's representation theorem of lc-groups is constructed and studied.
Completions and closures of cyclically ordered groups