Boolean algebras without nontrivial onto endomorphisms exist in every uncountable cardinality
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- by James Loats and Matatyahu Rubin PDF
- Proc. Amer. Math. Soc. 72 (1978), 346-351 Request permission
Abstract:
We prove, assuming ZFC, that for every uncountable cardinal $\lambda$, there is a Boolean algebra of cardinality $\lambda$, without onto endomorphisms other than the identity.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 72 (1978), 346-351
- MSC: Primary 03G05; Secondary 03C65, 06E99
- DOI: https://doi.org/10.1090/S0002-9939-1978-0507336-2
- MathSciNet review: 507336