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Algebra i logika, 2011, Volume 50, Number 2, Pages 133–151 (Mi al478)  

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

Boolean algebras of elementary characteristic (1,0,1) whose set of atoms and Ershov–Tarski ideal are computable

M. N. Leontieva

Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (228 kB) Citations (4)
References:
Abstract: It is proved that there exists a computable Boolean algebra of elementary characteristics (1,0,1) which has a computable set of atoms and a computable Ershov–Tarski ideal, but no strongly computable isomorphic copy. Also a description of $\Delta^0_6$-computable Boolean algebras is presented.
Keywords: Boolean algebra, computability, computable model.
Received: 23.10.2009
Revised: 07.06.2010
English version:
Algebra and Logic, 2011, Volume 50, Issue 2, Pages 93–105
DOI: https://doi.org/10.1007/s10469-011-9126-9
Bibliographic databases:
Document Type: Article
UDC: 510.5+510.6+512.563
Language: Russian
Citation: M. N. Leontieva, “Boolean algebras of elementary characteristic (1,0,1) whose set of atoms and Ershov–Tarski ideal are computable”, Algebra Logika, 50:2 (2011), 133–151; Algebra and Logic, 50:2 (2011), 93–105
Citation in format AMSBIB
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\paper Boolean algebras of elementary characteristic (1,0,1) whose set of atoms and Ershov--Tarski ideal are computable
\jour Algebra Logika
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\issue 2
\pages 133--151
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\jour Algebra and Logic
\yr 2011
\vol 50
\issue 2
\pages 93--105
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  • https://www.mathnet.ru/eng/al/v50/i2/p133
  • 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
    Алгебра и логика Algebra and Logic
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    Abstract page:300
    Full-text PDF :183
    References:39
    First page:10
     
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