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Title: Archimedean equivalence on ordered semigroups (English)
Author: Pondělíček, Bedřich
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 22
Issue: 2
Year: 1972
Pages: 210-219
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Category: math
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MSC: 06A50
idZBL: Zbl 0251.06025
idMR: MR0294200
DOI: 10.21136/CMJ.1972.101091
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Date available: 2008-06-09T13:56:15Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101091
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Reference: [1] Алимов H. Г.: Об упорядоченных полугруппах.Изв. Акад. Наук СССР, 14 (1950), 569-576. Zbl 1157.76305, MR 0038990
Reference: [2] Clifford A. H: Naturally totally ordered commutative semigroups.Amer. J. Math. 76 (1954), 631-646. MR 0062118, 10.2307/2372706
Reference: [3] XuoH Я. В.: Упорядоченные полугрппы.Изв. Акад. Наук СССР, 21 (1957), 209-222. MR 0088501
Reference: [4] Conrad Р.: Ordered semigroups.Nagoya Math. J. 16 (I960), 51 - 64. Zbl 0091.02103, MR 0109850, 10.1017/S0027763000007546
Reference: [5] Fuchs L.: Partially ordered algebraic systems.Pergamon Press, 1963. Zbl 0137.02001, MR 0171864
Reference: [6] Bigard A.: Décomposition des demi-groupes ordonnés.Sémin. Dubreil et Pisot. Fac. Sci. Paris, 1964-1965 (1967), 18, 14/01-14/11.
Reference: [7] Saitô T.: The archimedean property in an ordered semigroup.J. Austral. Math. Soc. 8 (1968), 547-556. MR 0230661, 10.1017/S1446788700006200
Reference: [8] Mériter T.: 'Sur certaines equivalences définies sur un demi-groupe totalement ordonné.С r. Acad. sci. 268 (1969), A524-A527.
Reference: [9] Pondělíček В.: A certain equivalence on a semigroup.Czech. Math. J. 21 (1971), 109-117. MR 0283110
Reference: [10] Pondělíčke В.: On а certain relation for closure operations on a semigroup.Czech. Math. J., 20 (1970), 220-231. MR 0260905
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