Boolean algebras with few endomorphisms

Saharon Shelah*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)135-142
Number of pages8
JournalProceedings of the American Mathematical Society
Volume74
Issue number1
DOIs
StatePublished - Apr 1979

Keywords

  • Boolean algebra
  • Endomorphism

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