The theories of superatomic Boolean algebras with distinguished subalgebra which lack countably saturated models

DOI10.1134/S0037446620030131zbMath1481.03017OpenAlexW3035247225MaRDI QIDQ2191384

Yanyan Li

Publication date: 24 June 2020

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446620030131

zbMATH Keywords

Boolean algebralocal algebraelementary equivalencefinitely axiomatizable theorysolvable theoryelementary theoryBoolean algebra with distinguished subalgebra

Mathematics Subject Classification ID

Models with special properties (saturated, rigid, etc.) (03C50) Structure theory of Boolean algebras (06E05)

Cites Work

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• Autostability relative to strong constructivizations of Boolean algebras with distinguished ideals
• Local and nonvanishing superatomic Boolean algebras with a distinguished dense subalgebra
• Undecidability of theories of Boolean algebras with selected ideals
• Countably-categorical Boolean algebras with distinguished ideals
• Finitely axiomatizable Boolean algebras with distinguished ideals
• Direct summands of Boolean algebras with distinguished ideals
• Model theory
• Prime and countably saturated models of the theory of Boolean algebras with distinguished ideals
• Theories of Boolean algebras with distinguished ideals which have no prime model

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