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Cantor extension of a half lineary cyclically ordered group

Štefan Černák (2001)

Discussiones Mathematicae - General Algebra and Applications

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.

Closure operators on radical classes of lattice-ordered groups

Michael R. Darnel (1987)

Czechoslovak Mathematical Journal

Compatible elements in partly ordered groups.

Močkoř, Jiří, Kontolatou, Angeliki (2005)

International Journal of Mathematics and Mathematical Sciences

Completion of a cyclically ordered group

Štefan Černák, Ján Jakubík (1987)

Czechoslovak Mathematical Journal

Completions of lattice ordered groups

Mária Jakubíková (1982)

Mathematica Slovaca

Convergence with a fixed regulator in Archimedean lattice ordered groups

Štefan Černák (2006)

Mathematica Slovaca

Convex lines in median groups

Milan Kolibiar (1992)

Archivum Mathematicum

There is proved that a convex maximal line in a median group $G$ , containing 0, is a direct factor of $G$ .

Coverings in the lattice of quasivarieties of $ℓ$ -groups.

Isaeva, O.V., Medvedev, N.Ya. (2000)

Siberian Mathematical Journal

Cyclic extensions of the Medvedev ordered groups

Michael R. Darnel (1993)

Czechoslovak Mathematical Journal

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