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Algebra i logika, 2012, Volume 51, Number 5, Pages 579–607 (Mi al552)  
This article is cited in 6 scientific papers (total in 6 papers)

Constructivizability 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., Prague, Czech Republic
Full-text PDF (309 kB) Citations (6)
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Abstract: A constructivizability criterion for the Boolean algebra $\mathfrak B(\omega)$ with a distinguished ideal is given. As a consequence of the criterion, combined with a result due to I. Kalimullin, B. Khoussainov, and A. Melnikov, we construct a Boolean algebra with a distinguished ideal whose degree spectrum contains every nonzero Turing $\Delta^0_2$-degree but does not contain $0$.
Keywords: Boolean algebra with distinguished automorphism, constructivizability, degree spectra of structures.
Received: 01.11.2011
Revised: 08.08.2012
English version:
Algebra and Logic, 2012, Volume 51, Issue 5, Pages 384–403
DOI: https://doi.org/10.1007/s10469-012-9199-0
Bibliographic databases:
Document Type: Article
UDC: 512.563+510.5+510.6
Language: Russian
Citation: N. A. Bazhenov, R. R. Tukhbatullina, “Constructivizability of the Boolean algebra $\mathfrak B(\omega)$ with a distinguished automorphism”, Algebra Logika, 51:5 (2012), 579–607; Algebra and Logic, 51:5 (2012), 384–403
Citation in format AMSBIB
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    • This publication is cited in the following 6 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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    References:51
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