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Archimedean equivalence on ordered semigroups. (English) Zbl 0251.06025


MSC:

06F05 Ordered semigroups and monoids
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References:

[1] Алимов Н. Г.: Об упорядоченных полугруппах. Изв. Акад. Наук СССР, 14 (1950), 569-576. · Zbl 1157.76305 · doi:10.1098/rspa.1950.0035
[2] Clifford A. H: Naturally totally ordered commutative semigroups. Amer. J. Math. 76 (1954), 631-646. · Zbl 0055.01503 · doi:10.2307/2372706
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[5] Fuchs L.: Partially ordered algebraic systems. Pergamon Press, 1963. · Zbl 0137.02001
[6] Bigard A.: Décomposition des demi-groupes ordonnés. Sémin. Dubreil et Pisot. Fac. Sci. Paris, 1964-1965 (1967), 18, 14/01-14/11.
[7] Saitô T.: The archimedean property in an ordered semigroup. J. Austral. Math. Soc. 8 (1968), 547-556. · Zbl 0159.02803 · doi:10.1017/S1446788700006200
[8] Mériter T.: ’Sur certaines equivalences définies sur un demi-groupe totalement ordonné. C r. Acad. sci. 268 (1969), A524-A527.
[9] Pondělíček B.: A certain equivalence on a semigroup. Czech. Math. J. 21 (1971), 109-117. · Zbl 0217.36404
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