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

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Abstract

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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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk, Russia

    D. E. Pal’chunov & A. V. Trofimov

Authors
  1. D. E. Pal’chunov
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  2. A. V. Trofimov
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Corresponding author

Correspondence to D. E. Pal’chunov.

Additional information

Original Russian Text Copyright © 2016 Pal’chunov D.E. and Trofimov A.V.

The authors were supported by the Russian Foundation for Basic Research (Grant 14–07–00903-a).

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Pal’chunov, D.E., Trofimov, A.V. Finitely-axiomatizable superatomic Boolean algebras with distinguished dense subalgebra of finite width. Sib Math J 57, 1066–1076 (2016). https://doi.org/10.1134/S0037446616060136

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  • DOI: https://doi.org/10.1134/S0037446616060136

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