Title:
|
Archimedean classes in an ordered semigroup. I (English) |
Author:
|
Saitô, Tôru |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
26 |
Issue:
|
2 |
Year:
|
1976 |
Pages:
|
218-238 |
Summary lang:
|
Russian |
. |
Category:
|
math |
. |
MSC:
|
06A50 |
idZBL:
|
Zbl 0338.06005 |
idMR:
|
MR0406897 |
DOI:
|
10.21136/CMJ.1976.101393 |
. |
Date available:
|
2008-06-09T14:17:54Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101393 |
. |
Reference:
|
[1] G. Birkhoff: Lattice theory.3rd edition. Amer. Math. Soc, Providence, R. I., 1967. Zbl 0153.02501, MR 0227053 |
Reference:
|
[2] A. H. Clifford, G. B. Preston: The algebraic theory of semigroups. Vol. I.Amer. Math. Soc., Providence, R. I., 1961. Zbl 0111.03403, MR 0132791 |
Reference:
|
[3] B. Pondělíček: Archimedean equivalence on ordered semigroups.Czechoslovak Math. J. 22 (97) (1972), 210-219. MR 0294200 |
Reference:
|
[4] T. Saitô: Ordered idempotent semigroups.J. Math. Soc. Japan 14 (1962), 150-169. MR 0144993, 10.2969/jmsj/01420150 |
Reference:
|
[5] T. Saitô: Regular elements in an ordered semigroup.Pacific J. Math. 13 (1963), 263 - 295. MR 0152598, 10.2140/pjm.1963.13.263 |
Reference:
|
[6] T. Saitô: Note on the archimedean property in an ordered semigroup.Proc. Japan Acad. 46 (1970), 64-65. MR 0262135 |
Reference:
|
[7] T. Saitô: Note on the archimedean property in an ordered semigroup.Bull. Tokyo Gakugei Univ. Ser. IV, 22 (1970), 8-12. MR 0268102 |
Reference:
|
[8] T. Saitô: Elements of finite order in an ordered semigroup whose product is of infinite order.Proc. Japan Acad. 50 (1974), 268-270. MR 0360401 |
Reference:
|
[9] T. Saitô: Archimedean classes in a nonnegatively ordered semigroup.to appear. MR 0682004 |
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