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Local and nonvanishing superatomic Boolean algebras with a distinguished dense subalgebra

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Algebra and Logic Aims and scope

Boolean algebra with distinguished subalgebra, dense subalgebra of finite width.

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References

  1. A. Tarski, “Arithmetical classes and types of Boolean algebras,” Bull. Am. Math. Soc., 55, 63 (1949).

    Google Scholar 

  2. Yu. L. Ershov, “Decidability of the elementary theory for relatively complemented distributive lattices and of the filter theory,” Algebra Logika, 3, No. 3, 17–38 (1964).

    MathSciNet  MATH  Google Scholar 

  3. Z. A. Dulatova, “Extended theories of Boolean algebras,” Sib. Mat. Zh., 25, No. 1, 201–204 (1984).

    MathSciNet  MATH  Google Scholar 

  4. Z. A. Dulatova, “Boolean algebras with a distinguished locally finite automorphism group,” Proc. 8th All-Union Conf. Math. Logic, Moscow (1986), p. 62.

  5. D. E. Pal’chunov, “Undecidability of theories of Boolean algebras with distinguished ideals,” Algebra Logika, 25, No. 3, 326–346 (1986).

    MathSciNet  Google Scholar 

  6. D. E. Pal’chunov, “Countably-categorical Boolean algebras with distinguished ideals,” Preprint No. 12, Institute of Mathematics, Novosibirsk (1986).

  7. D. E. Pal’chunov, “Finitely axiomatizable Boolean algebras with distinguished ideals,” Algebra Logika, 26, No. 4, 435–455 (1987).

    MathSciNet  MATH  Google Scholar 

  8. S. S. Goncharov, Countable Boolean Algebras and Decidability, Sib. School Alg. Log. [in Russian], Nauch. Kniga, Novosibirsk (1996).

  9. Yu. L. Ershov and E. A. Palyutin, Mathematical Logic [in Russian], Nauka, Moscow (1979).

    Google Scholar 

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Koptyuga 4, Novosibirsk, 630090, 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

Supported by RF Federal Agency for Science and Innovations (gov. contract no. P1008) and by the Grants Council (under RF President) for State Aid of Leading Scientific Schools (grant NSh-3606.2010.1).

Translated from Algebra i Logika, Vol. 50, No. 6, pp. 822-847, November-December, 2011.

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Pal’chunov, D.E., Trofimov, A.V. Local and nonvanishing superatomic Boolean algebras with a distinguished dense subalgebra. Algebra Logic 50, 553–569 (2012). https://doi.org/10.1007/s10469-012-9165-x

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  • DOI: https://doi.org/10.1007/s10469-012-9165-x

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