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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Tarski semigroups
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by Erik Ellentuck PDF
Proc. Amer. Math. Soc. 65 (1977), 19-23 Request permission

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
    J. Farkas, Über die Theorie der einfachen Ungleichungen, J. Reine Angew. Math. 124 (1902), 1-27.
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Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 65 (1977), 19-23
  • MSC: Primary 02H15; Secondary 20M99
  • DOI: https://doi.org/10.1090/S0002-9939-1977-0498097-3
  • MathSciNet review: 0498097