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The minimality of certain decidability conditions for Boolean algebras

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Abstract

We complete our study of the decidability of Boolean algebras in terms of computability of a certain sequence of canonical ideals. We present a proof of the minimality of the conditions obtained for the decidability of Boolean algebras of all elementary characteristics.

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Authors and Affiliations

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

    M. N. Leontyeva

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  1. M. N. Leontyeva
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Correspondence to M. N. Leontyeva.

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Original Russian Text Copyright © 2012 Leontyeva M. N.

The author was supported by the Russian Foundation for Basic Research (Grant 11-01-00236).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 53, No. 1, pp. 132–147, January–February, 2012.

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Leontyeva, M.N. The minimality of certain decidability conditions for Boolean algebras. Sib Math J 53, 106–118 (2012). https://doi.org/10.1134/S0037446612010090

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  • DOI: https://doi.org/10.1134/S0037446612010090

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