Finitely-axiomatizable superatomic Boolean algebras with distinguished dense subalgebra of finite width


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We give a description of finitely axiomatizable superatomic Boolean algebras with distinguished dense subalgebra of finite width. Criteria are obtained for the elementary equivalence of superatomic Boolean algebras with distinguished dense subalgebra of finite width and the decidability of their elementary theories.

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D. Pal’chunov

Sobolev Institute of Mathematics, Novosibirsk State University

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Email: palch@math.nsc.ru
俄罗斯联邦, Novosibirsk

A. Trofimov

Sobolev Institute of Mathematics, Novosibirsk State University

Email: palch@math.nsc.ru
俄罗斯联邦, Novosibirsk

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