Freely Generated Projective Planes with Finite Computable Dimension

Standard

Freely Generated Projective Planes with Finite Computable Dimension. / Kogabaev, N. T.

In: Algebra and Logic, Vol. 55, No. 6, 01.01.2017, p. 461-484.

Research output: Contribution to journal › Article › peer-review

Harvard

Kogabaev, NT 2017, 'Freely Generated Projective Planes with Finite Computable Dimension', Algebra and Logic, vol. 55, no. 6, pp. 461-484. https://doi.org/10.1007/s10469-017-9418-9

APA

Kogabaev, N. T. (2017). Freely Generated Projective Planes with Finite Computable Dimension. Algebra and Logic, 55(6), 461-484. https://doi.org/10.1007/s10469-017-9418-9

Vancouver

Kogabaev NT. Freely Generated Projective Planes with Finite Computable Dimension. Algebra and Logic. 2017 Jan 1;55(6):461-484. doi: 10.1007/s10469-017-9418-9

Author

Kogabaev, N. T. / Freely Generated Projective Planes with Finite Computable Dimension. In: Algebra and Logic. 2017 ; Vol. 55, No. 6. pp. 461-484.

BibTeX

@article{2daaa062ecc14c15be1ba9657fff1e44,

title = "Freely Generated Projective Planes with Finite Computable Dimension",

abstract = "It is proved that for every natural n ≥ 1, 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 = "computable dimension, computable structure, degree spectrum of relation, degree spectrum of structure, freely generated projective plane, projective plane",

author = "Kogabaev, {N. T.}",

note = "Publisher Copyright: {\textcopyright} 2017, Springer Science+Business Media New York.",

year = "2017",

month = jan,

day = "1",

doi = "10.1007/s10469-017-9418-9",

language = "English",

volume = "55",

pages = "461--484",

journal = "Algebra and Logic",

issn = "0002-5232",

publisher = "Springer US",

number = "6",

}

RIS

TY - JOUR

T1 - Freely Generated Projective Planes with Finite Computable Dimension

AU - Kogabaev, N. T.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - It is proved that for every natural n ≥ 1, 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.

AB - It is proved that for every natural n ≥ 1, 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.

KW - computable dimension

KW - computable structure

KW - degree spectrum of relation

KW - degree spectrum of structure

KW - freely generated projective plane

KW - projective plane

UR - http://www.scopus.com/inward/record.url?scp=85014995225&partnerID=8YFLogxK

U2 - 10.1007/s10469-017-9418-9

DO - 10.1007/s10469-017-9418-9

M3 - Article

AN - SCOPUS:85014995225

VL - 55

SP - 461

EP - 484

JO - Algebra and Logic

JF - Algebra and Logic

SN - 0002-5232

IS - 6

ER -

ID: 10276449