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 |
. |
Category:
|
math |
. |
MSC:
|
06A50 |
idZBL:
|
Zbl 0251.06025 |
idMR:
|
MR0294200 |
DOI:
|
10.21136/CMJ.1972.101091 |
. |
Date available:
|
2008-06-09T13:56:15Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101091 |
. |
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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