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Algebra i logika, 2013, Volume 52, Number 2, Pages 131–144 (Mi al578)  
This article is cited in 1 scientific paper (total in 1 paper)

Computable categoricity of the Boolean algebra $\mathfrak B(\omega)$ with a distinguished automorphism

N. A. Bazhenova, R. R. Tukhbatullinab

a Novosibirsk State University, Novosibirsk, Russia
b CERGE–EI, a joint workplace of Charles Univ. and Economics Inst. Acad. Sci. Czech Repub., Politických vězňů, 7, 11121 Prague, Czech Republic
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Abstract: It is proved that every computably enumerable Turing degree is a degree of categoricity of some computable Boolean algebra with a distinguished automorphism. We construct an example of a computably categorical Boolean algebra with a distinguished automorphism, having a set of atoms in a given computably enumerable Turing degree.
Keywords: Boolean algebra with distinguished automorphism, computable categoricity, categoricity spectrum, degree of categoricity.
Received: 24.07.2012
English version:
Algebra and Logic, 2013, Volume 52, Issue 2, Pages 89–97
DOI: https://doi.org/10.1007/s10469-013-9224-y
Bibliographic databases:
Document Type: Article
UDC: 512.563+510.5+510.6
Language: Russian
Citation: N. A. Bazhenov, R. R. Tukhbatullina, “Computable categoricity of the Boolean algebra $\mathfrak B(\omega)$ with a distinguished automorphism”, Algebra Logika, 52:2 (2013), 131–144; Algebra and Logic, 52:2 (2013), 89–97
Citation in format AMSBIB
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\pages 131--144
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
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    Full-text PDF :81
    References:74
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