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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 1, Pages 132–147 (Mi smj2294)  

This article is cited in 4 scientific papers (total in 4 papers)

The minimality of certain decidability conditions for Boolean algebras

M. N. Leontyevaab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University, Novosibirsk
Full-text PDF (369 kB) Citations (4)
References:
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.
Keywords: Boolean algebra, computable set, computable model, strongly computable model, $n$-computability, decidable model, elementary characteristic of a Boolean algebra, Ershov–Tarski ideal.
Received: 31.05.2011
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 1, Pages 106–118
DOI: https://doi.org/10.1134/S0037446612010090
Bibliographic databases:
Document Type: Article
UDC: 510.5+510.6+512.563
Language: Russian
Citation: M. N. Leontyeva, “The minimality of certain decidability conditions for Boolean algebras”, Sibirsk. Mat. Zh., 53:1 (2012), 132–147; Siberian Math. J., 53:1 (2012), 106–118
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/smj/v53/i1/p132
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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    Abstract page:332
    Full-text PDF :89
    References:64
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