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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles 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 1.48.

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On certain Boolean algebras $\mathcal {P}(\omega )/I$
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by Winfried Just and Adam Krawczyk PDF
Trans. Amer. Math. Soc. 285 (1984), 411-429 Request permission

Abstract:

We consider possible isomorphisms between algebras of the form $\mathcal {P}(\omega )/I$, assuming ${\rm {CH}}$. In particular, the solution of a problem of Erdös and Ulam is given. We include some remarks on the completeness of such algebras.
References
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Additional Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 285 (1984), 411-429
  • MSC: Primary 04A20; Secondary 03E50
  • DOI: https://doi.org/10.1090/S0002-9947-1984-0748847-1
  • MathSciNet review: 748847