Boolean algebras without nontrivial onto endomorphisms exist in every uncountablec ardinality

James Loats; Matatyahu Rubin

doi:10.1090/S0002-9939-1978-0507336-2

Boolean algebras without nontrivial onto endomorphisms exist in every uncountablec ardinality

James Loats, Matatyahu Rubin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We prove, assuming ZFC, that for every uncountable cardinal λ, there is a Boolean algebra of cardinality λ, without onto endomorphisms other than the identity.

Original language	English
Pages (from-to)	346-351
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	72
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-1978-0507336-2
State	Published - 1 Jan 1978

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1978-0507336-2

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abstract = "We prove, assuming ZFC, that for every uncountable cardinal λ, there is a Boolean algebra of cardinality λ, without onto endomorphisms other than the identity.",

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Boolean algebras without nontrivial onto endomorphisms exist in every uncountablec ardinality

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