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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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A two-cardinal theorem for homogeneous sets and the elimination of Malitz quantifiers
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by Philipp Rothmaler and Peter Tuschik PDF
Trans. Amer. Math. Soc. 269 (1982), 273-283 Request permission

Abstract:

Sufficient conditions for the eliminability of Malitz quantifiers in a complete first order theory are given. Proving that certain superstable and not $\omega$-stable theories satisfy these conditions, a question of Baldwin and Kueker is answered negatively.
References
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 269 (1982), 273-283
  • MSC: Primary 03C80; Secondary 03C10
  • DOI: https://doi.org/10.1090/S0002-9947-1982-0637038-9
  • MathSciNet review: 637038