Freely Generated Projective Planes with Finite Computable Dimension

N. T. Kogabaev

doi:10.1007/s10469-017-9418-9

Freely Generated Projective Planes with Finite Computable Dimension

N. T. Kogabaev

Кафедра дискретной математики и информатики ММФ и СУНЦ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

1 Цитирования (Scopus)

Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	461-484
Число страниц	24
Журнал	Algebra and Logic
Том	55
Номер выпуска	6
DOI	https://doi.org/10.1007/s10469-017-9418-9
Состояние	Опубликовано - 1 янв. 2017

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10.1007/s10469-017-9418-9

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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.",

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Freely Generated Projective Planes with Finite Computable Dimension

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