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Abstrakty
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.
Kategorie tematyczne
Rocznik
Tom
Numer
Strony
5-23
Opis fizyczny
Daty
wydano
2002
otrzymano
2001-06-06
Twórcy
autor
- Department of Mathematics, Faculty of Civil Engineering, Technical University, Vysokoškolská 4, SK-042 02 Košice, Slovakia
Bibliografia
- [1] Š. Černák, On the completion of cyclically ordered groups, Math. Slovaca 41 (1991), 41-49.
- [2] M. Giraudet and F. Lucas, Groupes à moitié ordonnés, Fund. Math. 139 (1991), 75-89.
- [3] J. Jakubík, On half cyclically ordered groups, Czechoslovak Math. J. (to appear).
- [4] J. Jakubík and Š. Černák, Completion of a cyclically ordered group, Czechoslovak Math. J. 37 (112) (1987), 157-174.
- [5] V. Novák, Cuts in cyclically ordered sets, Czechoslovak Math. J. 34 (109) (1984), 322-333.
- [6] V. Novák and M. Novotný, On completion of cyclically ordered sets, Czechoslovak Math. J. 37 (112) (1987), 407-414.
- [7] A. Quilliot, Cyclic orders, Europan J. Combin. 10 (1989), 477-488.
- [8] L. Rieger, On ordered and cyclically ordered groups. I, II, and III, (Czech), Věstník Královské České Společnosti Nauk. Třida Matemat.-Přirodovĕd. 1946, no. 6, p. 1-31, 1947, no 1, p. 1-33, 1948, no. 1, p. 1-26.
- [9] S. Świerczkowski, On cyclically ordered groups, Fundamenta Math. 47 (1959), 161-166.
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Bibliografia
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bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1043