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Algebra i logika, 2012, Volume 51, Number 1, Pages 61–81 (Mi al522)  
This article is cited in 1 scientific paper (total in 1 paper)

Computable dimensions of Pappusian and Desarguesian projective planes

N. T. Kogabaevab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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Abstract: Computable presentations of projective planes are studied. Based on an interpretation of a class of fields (associative skew fields) within a class of Pappusian (Desarguesian) projective planes, it is proved that the question whether there exists a computable presentation for a Pappusian (Desarguesian) projective plane reduces to asking if there exists a computable presentation for a corresponding field (associative skew field). It is stated that the computable dimension of a Pappusian (Desarguesian) projective plane coincides with that of a corresponding field (associative skew field).
Keywords: projective plane, Pappusian projective plane, Desarguesian projective plane, computable model, computable dimension.
Received: 22.12.2010
English version:
Algebra and Logic, 2012, Volume 51, Issue 1, Pages 41–55
DOI: https://doi.org/10.1007/s10469-012-9169-6
Bibliographic databases:
Document Type: Article
UDC: 510.53+514.146
Language: Russian
Citation: N. T. Kogabaev, “Computable dimensions of Pappusian and Desarguesian projective planes”, Algebra Logika, 51:1 (2012), 61–81; Algebra and Logic, 51:1 (2012), 41–55
Citation in format AMSBIB
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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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