Boolean algebras with few endomorphisms

Saharon Shelah

doi:10.1090/S0002-9939-1979-0521887-7

Boolean algebras with few endomorphisms

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

11 Scopus citations

Abstract

Using diamond for N₁, we construct a Boolean algebra in N₁, whose only endomorphisms are those definable using finitely many elements and ultrafilters. We also generalize Rubin's construction to higher cardinals.

Original language	English
Pages (from-to)	135-142
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	74
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1979-0521887-7
State	Published - Apr 1979

Keywords

Boolean algebra
Endomorphism

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10.1090/S0002-9939-1979-0521887-7

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Boolean algebras with few endomorphisms

Abstract

Keywords

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