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Algebra i logika, 2015, Volume 54, Number 5, Pages 599–627
DOI: https://doi.org/10.17377/alglog.2015.54.504 (Mi al715) 		 
This article is cited in 10 scientific papers (total in 10 papers)

The theory of projective planes is complete with respect to degree spectra and effective dimensions

N. T. Kogabaevab

a Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia
b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
Full-text PDF (260 kB) Citations (10)
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DOI: https://doi.org/10.17377/alglog.2015.54.504
Abstract: We prove that the theory of Pappian projective planes is complete with respect to degree spectra of automorphically nontrivial structures, effective dimensions, degree spectra of relations, categoricity spectra, and automorphism spectra. Therefore, for every natural $n\ge2$, there exists a computable Pappian projective plane with computable dimension $n$.
Keywords: projective plane, Pappian projective plane, computable structure, degree spectrum of structure, computable dimension, degree spectrum of relation, categoricity spectrum, automorphism spectrum.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-860.2014.1
Russian Foundation for Basic Research 14-01-00376
13-01-91001-АНФ_а
Supported by the Grants Council (under RF President) for State Aid of Leading Scientific Schools (grant NSh-860.2014.1) and by RFBR (projects No. 14-01-00376 and 13-01-91001-ANF_a).
Received: 26.10.2014
English version:
Algebra and Logic, 2015, Volume 54, Issue 5, Pages 387–407
DOI: https://doi.org/10.1007/s10469-015-9360-7
Bibliographic databases:
Document Type: Article
UDC: 510.53+514.146
Language: Russian
Citation: N. T. Kogabaev, “The theory of projective planes is complete with respect to degree spectra and effective dimensions”, Algebra Logika, 54:5 (2015), 599–627; Algebra and Logic, 54:5 (2015), 387–407
Citation in format AMSBIB
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\paper The theory of projective planes is complete with respect to degree spectra and effective dimensions
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\transl
\jour Algebra and Logic
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\pages 387--407
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    • This publication is cited in the following 10 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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