Convergence with a regulator in directed groups
There is defined and studied a convergence with a fixed regulator u in directed groups. A u-Cauchy completion of an integrally closed directed group is constructed.
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.
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.
The Cantor Extension of a Lexicographic Product of -Groups
Lexicographic products of cyclically ordered groups
On the maximal Dedekind completion of a half partially ordered group
Cantor extension of an Abelian cyclically ordered group
On the completion of a lattice by ends
Convergence with a fixed regulator in Archimedean lattice ordered groups
Maximal Dedekind completion of a half lattice ordered group
On the completion of cyclically ordered groups
Cantor extension of a mixed product of directed groups
Eighty years of Professor Ján Jakubík
On some types of maximal -subgroups of a lattice ordered group
On the maximal Dedekind completion of a lattice ordered group
Cantor extension of a half lattice ordered group
Lexico extension and a cut completion of a half l-group
The cut completi on of an hl-group G with the abelian increasing part is investigated under the assumption that G is a lexico extension of its hl-subgroup.
Completion of a cyclically ordered group
Životné jubileum akademika Jána Jakubíka
On convex linearly ordered subgroups of an -group
Page 1 Next