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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Boolean algebras with few endomorphisms


Author: Saharon Shelah
Journal: Proc. Amer. Math. Soc. 74 (1979), 135-142
MSC: Primary 06E05; Secondary 03E35, 03G05
MathSciNet review: 521887
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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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1979-0521887-7
PII: S 0002-9939(1979)0521887-7
Keywords: Boolean algebra, endomorphism
Article copyright: © Copyright 1979 American Mathematical Society