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Representing N-semigroups

Published online by Cambridge University Press:  17 April 2009

John C. Higgins
John C. Higgins
Affiliation:
Brigham Young University, Provo, Utah, USA
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Abstract

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An N-semigroup is a commutative, cancellative, archimedean semigroup with no idempotent element. This paper obtains a representation of finitely generated N-semigroups as the subdirect product of an abelian group and a subsemigroup of the additive positive integers.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 1 , Issue 1 , April 1969 , pp. 115 - 125
Copyright
Copyright © Australian Mathematical Society 1969

References

[1] Higgins, John Clayborn, Finitely generated commutative archimedean semigroups with idempotent, doctoral dissertation, University of California at Davis, unpublished (1966).Google Scholar
[2] Tamura, T. and Levin, R., “On locally cyclic semigroups”, Proc. Japan Acad. 42 (1966), 377–379.Google Scholar
[3] Petrich, Mario, “On the structure of a class of commutative semigroups”, Czechoslovak Math. J., 14 (1964), 147–153.CrossRefGoogle Scholar
[4] Rédei, L., Theorie der endlich erzeugbaren kommutativen Halbgruppen, (Physica – Verlag, Würzburg, 1963).Google Scholar
[5] Tamura, T., “Commutative nonpotent archimedean semigroup with cancellation law 1”, J. Gakugei, Tokushima Univ. 8 (1957), 5–11.Google Scholar
[6] Tamura, T., “The theory of operations on binary relations”, Trans. Amer. Math. Soc. 120 (1965) 343–358.CrossRefGoogle Scholar
[7] Tamura, T. and Tetsyua, T., “On the base of the infinite quasipower semigroup” (Japanese) Shikokie Shijo. Danwa 13 (07 1963) 295–298.Google Scholar