A superatomic Boolean algebra with few automorphisms

Matatyahu Rubin, Sabine Koppelberg

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Assuming GCH, we prove that for every successor cardinal μ > ω1, there is a superatomic Boolean algebra B such that \B\ = 2μ and \Aut B\ = μ. Under ◇ω1, the same holds for μ = ω1. This answers Monk's Question 80 in [Mo].

Original languageEnglish
Pages (from-to)125-129
Number of pages5
JournalArchive for Mathematical Logic
Volume40
Issue number2
DOIs
StatePublished - 1 Feb 2001

Keywords

  • Automorphism
  • Superatomic Boolean algebra -

ASJC Scopus subject areas

  • Philosophy
  • Logic

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