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Title: Positive rational semigroups and commutative power joined cancellative semigroups without idempotent (English)
Author: Sasaki, Morio
Author: Tamura, Takayuki
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 21
Issue: 4
Year: 1971
Pages: 567-576
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Category: math
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MSC: 20M10
idZBL: Zbl 0238.20083
idMR: MR0292981
DOI: 10.21136/CMJ.1971.101056
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Date available: 2008-06-09T13:53:44Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101056
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Reference: [1] J. L. Chrislock: The structure of archimedean semigroups.thesis, Univ. of Calif., Davis. 1966.
Reference: [2] J. L. Chrislock: On medial semigroups.J. Algebra 12 (1969), 1 - 9. Zbl 0187.29102, MR 0237685, 10.1016/0021-8693(69)90013-1
Reference: [3] A. H. Clifford, G. B. Preston: The algebraic theory of semigroups.Vol. 1, Survey 7, Amer. Math. Soc., Providence, R. I., 1961. Zbl 0111.03403, MR 0132791
Reference: [4] J. С. Higgins: Finitely generated commutative archimedean semigroups without idempotent;.thesis, Univ. of Calif., Davis, 1966.
Reference: [5] J. С. Higgins: Representing N-semigroups.Bull. Australian Math. Soc., Vol. 1, 1969, 115-126. Zbl 0169.33302, MR 0248252, 10.1017/S0004972700041320
Reference: [6] R. Levin, T. Tamura: On locally cyclic semigroups.Proc. Japan Acad. 42, 4 (1966), 376-379. Zbl 0166.27701, MR 0204561
Reference: [7] M. Petrich: On the structure of a class of commutative semigroups.Czech. Math. J. 14 (1964), 147-152. Zbl 0143.03403, MR 0166284
Reference: [8] L. Rédei: The theory of finitely generated commutative semigroups.Pergamon Press, 1965. MR 0188322
Reference: [9] T. Tamura: Commutative nonpotent archimedean semigroups with cancellation law 1.Journ. of Gakugei, Tokushima Univ., 8 (1957), 5-11. MR 0096741
Reference: [10] T. Tamura: Abelian groups and $\Re$-semigroups.Proc. Japan Acad., 46 (1970), 212-216. MR 0274618
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