Finitely generated pseudosimple algebras

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Abstract

We prove that there exist finitely generated algebras, which are pseudosimple but not simple. This problem goes back to Henkin, Monk, Tarski [71]. In fact, for any limit ordinal i, there exists a pseudosimple algebra, which has no proper subalgebra and whose congruence lattice is ωi+1. (Here ωi denotes ordinal power).

Original languageEnglish
Pages (from-to)127-136
Number of pages10
JournalAlgebra Universalis
Volume26
Issue number2
DOIs
Publication statusPublished - Jun 1 1989

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ASJC Scopus subject areas

  • Algebra and Number Theory

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