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Algebra i logika, 2008, Volume 47, Number 4, Pages 428–455 (Mi al366)  
This article is cited in 5 scientific papers (total in 5 papers)

The class of projective planes is noncomputable

N. T. Kogabaev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (292 kB) Citations (5)
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Abstract: Computable projective planes are investigated. It is stated that a free projective plane of countable rank in some inessential expansion is unbounded. This implies that such a plane has infinite computable dimension. The class of all computable projective planes is proved to be noncomputable (up to computable isomorphism).
Keywords: computable projective plane, free projective plane, computable class of structures, computable dimension of structure.
Received: 29.10.2007
English version:
Algebra and Logic, 2008, Volume 47, Issue 4, Pages 242–257
DOI: https://doi.org/10.1007/s10469-008-9015-z
Bibliographic databases:
UDC: 510.5+514.146
Language: Russian
Citation: N. T. Kogabaev, “The class of projective planes is noncomputable”, Algebra Logika, 47:4 (2008), 428–455; Algebra and Logic, 47:4 (2008), 242–257
Citation in format AMSBIB
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    • This publication is cited in the following 5 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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    Full-text PDF :107
    References:76
    First page:7
     
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