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Algebra i logika, 2004, Volume 43, Number 5, Pages 511–550 (Mi al87)  
This article is cited in 13 scientific papers (total in 13 papers)

Autostable $\rm I$-Algebras

P. E. Alaev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (388 kB) Citations (13)
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Abstract: We give an algebraic description for autostable (computably categorical) Boolean algebras with a finite set of distinguished ideals. It is proved that an elementary theory for every such algebra is $\omega$-categorical and decidable.
Keywords: autostable (computably categorical) Boolean algebra with finite set of distinguished ideals, elementary theory, $\omega$-categorical theory, decidable theory.
Received: 19.02.2003
Revised: 18.07.2003
English version:
Algebra and Logic, 2004, Volume 43, Issue 5, Pages 285–306
DOI: https://doi.org/10.1023/B:ALLO.0000044278.96526.5d
Bibliographic databases:
UDC: 510.5+510.6+512.563
Language: Russian
Citation: P. E. Alaev, “Autostable $\rm I$-Algebras”, Algebra Logika, 43:5 (2004), 511–550; Algebra and Logic, 43:5 (2004), 285–306
Citation in format AMSBIB
\Bibitem{Ala04}
\by P.~E.~Alaev
\paper Autostable $\rm I$-Algebras
\jour Algebra Logika
\yr 2004
\vol 43
\issue 5
\pages 511--550
\mathnet{http://mi.mathnet.ru/al87}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2112057}
\zmath{https://zbmath.org/?q=an:1096.03042}
\transl
\jour Algebra and Logic
\yr 2004
\vol 43
\issue 5
\pages 285--306
\crossref{https://doi.org/10.1023/B:ALLO.0000044278.96526.5d}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33645283139}
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    • This publication is cited in the following 13 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:396
    Full-text PDF :111
    References:49
    First page:1
     
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