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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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Boolean algebras with few endomorphisms
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by Saharon Shelah PDF
Proc. Amer. Math. Soc. 74 (1979), 135-142 Request permission

Abstract:

Using diamond for ${\aleph _1}$ we construct a Boolean algebra in ${\aleph _1}$, whose only endomorphisms are those definable using finitely many elements and ultrafilters. We also generalize Rubin’s construction to higher cardinals.
References
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Additional Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 74 (1979), 135-142
  • MSC: Primary 06E05; Secondary 03E35, 03G05
  • DOI: https://doi.org/10.1090/S0002-9939-1979-0521887-7
  • MathSciNet review: 521887