Lexico extension and a cut completion of a half l-group

• Autorzy: Štefan Černák , Milan Demko
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

half lattice ordered group; l-group; cut completion; lexico extension

Kategorie tematyczne

• 06F20: Ordered abelian groups, Riesz groups, ordered linear spaces
• 06F15: Ordered groups

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2002
• Tom: 22
• Numer: 2
• Strony: 141-152

Daty

wydano

2002

otrzymano

2002-05-27

poprawiono

2002-11-27

Twórcy

autor

Štefan Černák

• Department of Mathematics, Faculty of Civil Engineering, Technical University, Vysokoškolská 4, SK-042 02 Košice, Slovakia

autor

Milan Demko

• Department of Mathematics, FHPV PU, 17 Novembra 1, SK-081 16 Prešov, Slovakia

Bibliografia

• [1] R.N. Ball, The structure of the α-completion of a lattice ordered group, Houston J. Math. 15 (1989), 481-515.
• [2] P. Conrad, Lattice Ordered Groups, Tulane University, New Orleans, LA, 1970.
• [3] M.R. Darnel, Theory of Lattice Ordered Groups, M. Dekker, Inc., New York 1995.
• [4] M. Giraudet and F. Lucas, Groupes à moitié ordonnés, Fund. Math. 139 (1991), 75-89.
• [5] J. Jakubík, On cut completions of abelian lattice ordered groups, Czechoslovak Math. J. 50 (125) (2000), 587-602.

Identyfikatory

DOI

10.7151/dmgaa.1053