On \(\aleph_0\)-categoricity of filtered Boolean extensions

DOI10.1007/BF02485384zbMath0426.03034OpenAlexW1986330991MaRDI QIDQ1135845

James H. Schmerl

Publication date: 1978

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02485384

zbMATH Keywords

filtered Boolean extensionrings without nilpotent elements

Mathematics Subject Classification ID

Applications of logic to commutative algebra (13L05) Extension theory of commutative rings (13B02) Ring-theoretic properties of Boolean algebras (06E20) Categoricity and completeness of theories (03C35)

Related Items (5)

Elementary and algebraic properties of the Arens-Kaplansky constructions ⋮ Stone space partitions indexed by a poset ⋮ Filtered and stable Boolean powers are relativized full Boolean powers ⋮ On the structure of \(\aleph_0\)-categorical groups ⋮ \(\aleph _0\)-categoricity of semigroups

Cites Work

• \(\aleph_0\)-categoricity for rings without nilpotent elements and for Boolean structures
• The first order properties of products of algebraic systems
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