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Algebra i logika, 2010, Volume 49, Number 1, Pages 3–17 (Mi al426)  
This article is cited in 2 scientific papers (total in 2 papers)

Undecidability of the theory of projective planes

N. T. Kogabaev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
Full-text PDF (183 kB) Citations (2)
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Abstract: Elementary theories of projective planes are studied. The class of symmetric irreflexive graphs is proved to be relatively elementarily definable in the class of projective planes. Therefore, the theory of projective planes is hereditarily undecidable.
Keywords: projective plane, freely generated projective plane, undecidable theory.
Received: 10.02.2009
English version:
Algebra and Logic, 2010, Volume 49, Issue 1, Pages 1–11
DOI: https://doi.org/10.1007/s10469-010-9075-8
Bibliographic databases:
Document Type: Article
UDC: 510.53+514.146
Language: Russian
Citation: N. T. Kogabaev, “Undecidability of the theory of projective planes”, Algebra Logika, 49:1 (2010), 3–17; Algebra and Logic, 49:1 (2010), 1–11
Citation in format AMSBIB
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    • This publication is cited in the following 2 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:410
    Full-text PDF :128
    References:63
    First page:11
     
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