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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Tarski semigroups


Author: Erik Ellentuck
Journal: Proc. Amer. Math. Soc. 65 (1977), 19-23
MSC: Primary 02H15; Secondary 20M99
MathSciNet review: 0498097
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Abstract: A Tarski semigroup is an algebraic system which mirrors a fragment of the additive theory of cardinal numbers. Here we show that any two such systems have the same universal theory. We also give a simple arithmetical necessary and sufficient condition for a universal sentence to hold in a Tarski semigroup.


References [Enhancements On Off] (What's this?)

  • [1] J. Farkas, Über die Theorie der einfachen Ungleichungen, J. Reine Angew. Math. 124 (1902), 1-27.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1977-0498097-3
PII: S 0002-9939(1977)0498097-3
Keywords: The Farkas Lemma
Article copyright: © Copyright 1977 American Mathematical Society