Geodesic
Freely generated projective planes with finite computable dimension
Algebra i logika, Tome 55 (2016) no. 6, pp. 704-737

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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, expansions by constants, and degree spectra of relations.
Mots-clés : effective dimensions 
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     author = {N. T. Kogabaev},
     title = {Freely generated projective planes with finite computable dimension},
     journal = {Algebra i logika},
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     number = {6},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2016_55_6_a2/}
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N. T. Kogabaev. Freely generated projective planes with finite computable dimension. Algebra i logika, Tome 55 (2016) no. 6, pp. 704-737. http://geodesic.mathdoc.fr/item/AL_2016_55_6_a2/