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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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Maximal logics
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by Joseph Sgro PDF
Proc. Amer. Math. Soc. 63 (1977), 291-298 Request permission

Abstract:

In this paper we present a general method for producing logics on various classes of models which are maximal with respect to a Łoś ultraproducts theorem. As a corollary we show that ${\mathcal {L}^{{\text {Top}}}}$ is maximal. We also show that these maximal logics satisfy the Souslin-Kleene property.
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Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 63 (1977), 291-298
  • MSC: Primary 02H10
  • DOI: https://doi.org/10.1090/S0002-9939-1977-0491143-2
  • MathSciNet review: 0491143