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Algebra Logika, 2016, Volume 55, Number 6, Pages 704–737 (Mi al771)  

Freely generated projective planes with finite computable dimension

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

Abstract: It is proved that for every natural $n\ge1$, there exists a computable freely generated projective plane with computable dimension $n$. It is stated that the class of freely generated projective planes is complete with respect to degree spectra of automorphically nontrivial structures, effective dimensions, expansions by constants, and degree spectra of relations.

Keywords: degree spectra of automorphically nontrivial structures, effective dimensions, expansions by constants, and degree spectra of relations.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation НШ-6848.2016.1
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-6848.2016.1) and by RFBR (projects No. 14-01-00376 and 13-01-91001-ANF_a).


DOI: https://doi.org/10.17377/alglog.2016.55.603

Full text: PDF file (299 kB)
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English version:
Algebra and Logic, 2017, 55:6, 461–484

Bibliographic databases:

UDC: 510.53+514.146
Received: 04.12.2015
Revised: 24.06.2016

Citation: N. T. Kogabaev, “Freely generated projective planes with finite computable dimension”, Algebra Logika, 55:6 (2016), 704–737; Algebra and Logic, 55:6 (2017), 461–484

Citation in format AMSBIB
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\by N.~T.~Kogabaev
\paper Freely generated projective planes with finite computable dimension
\jour Algebra Logika
\yr 2016
\vol 55
\issue 6
\pages 704--737
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\crossref{https://doi.org/10.17377/alglog.2016.55.603}
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\jour Algebra and Logic
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\vol 55
\issue 6
\pages 461--484
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