On the automorphism groups of countable Boolean algebras

DOI10.1007/BF02760943zbMath0447.06010OpenAlexW1980448253MaRDI QIDQ1146205

Matatyahu Rubin

Publication date: 1980

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02760943

zbMATH Keywords

automorphism groupBoolean algebraelementary equivalencecountable Boolean algebrassecond order logiccomplete theory of Boolean algebrasset of atoms

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Applications of logic to group theory (20A15) Inner models, including constructibility, ordinal definability, and core models (03E45) Second- and higher-order model theory (03C85) Structure theory of Boolean algebras (06E05) Automorphisms and endomorphisms of algebraic structures (08A35) Model theory of denumerable and separable structures (03C15) Infinite automorphism groups (20B27) Categoricity and completeness of theories (03C35)

Related Items (5)

Recursively rigid Boolean algebras ⋮ On the automorphism groups of homogeneous and saturated Boolean algebras ⋮ Partial automorphism semigroups ⋮ On the reconstruction of boolean algebras from their automorphism groups ⋮ Groups of recursive automorphisms of constructive Boolean algebras

Cites Work

• Unnamed Item
• On the automorphism groups of homogeneous and saturated Boolean algebras
• Model theory
• On the automorphism groups of denumerable Boolean algebras
• On the elementary equivalence of automorphism groups of Boolean algebras; downward Skolem Löwenheim theorems and compactness of related quantifiers
• Automorphism Groups of Denumerable Boolean Algebras
• Models with second order properties II. Trees with no undefined branches

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