Geodesic
Computable dimensions of Pappusian and Desarguesian projective planes
Algebra i logika, Tome 51 (2012) no. 1, pp. 61-81

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Computable presentations of projective planes are studied. Based on an interpretation of a class of fields (associative skew fields) within a class of Pappusian (Desarguesian) projective planes, it is proved that the question whether there exists a computable presentation for a Pappusian (Desarguesian) projective plane reduces to asking if there exists a computable presentation for a corresponding field (associative skew field). It is stated that the computable dimension of a Pappusian (Desarguesian) projective plane coincides with that of a corresponding field (associative skew field).
Keywords: projective plane, Pappusian projective plane, Desarguesian projective plane, computable model
Mots-clés : computable dimension. 
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     author = {N. T. Kogabaev},
     title = {Computable dimensions of {Pappusian} and {Desarguesian} projective planes},
     journal = {Algebra i logika},
     pages = {61--81},
     publisher = {mathdoc},
     volume = {51},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2012_51_1_a2/}
}
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N. T. Kogabaev. Computable dimensions of Pappusian and Desarguesian projective planes. Algebra i logika, Tome 51 (2012) no. 1, pp. 61-81. http://geodesic.mathdoc.fr/item/AL_2012_51_1_a2/