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Contemporary Mathematics. Fundamental Directions, 2021, Volume 67, Issue 4, Pages 707–754
DOI: https://doi.org/10.22363/2413-3639-2021-67-4-707-754
(Mi cmfd444)
 

This article is cited in 3 scientific papers (total in 3 papers)

Separable algorithmic representations of classical systems and their applications

N. Kh. Kasymov, R. N. Dadazhanov, F. N. Ibragimov

National University of Uzbekistan named after M. Ulugbek, Tashkent, Uzbekistan
Full-text PDF (556 kB) Citations (3)
References:
Abstract: The main results of the theory of separable algorithmic representations of classical algebraic systems are presented. The most important classes of such systems and their representations in the lower classes of the arithmetic hierarchy — positive and negative — are described. Special attention is paid to the algorithmic, structural and topological properties of separable representations of groups, rings and bodies, as well as to effective analogs of the Maltsev theorem on embedding rings in bodies. The possibilities of using the studied concepts in the framework of theoretical informatics are considered.
Document Type: Article
UDC: 510.5+510.6+512.57+519.68
Language: Russian
Citation: N. Kh. Kasymov, R. N. Dadazhanov, F. N. Ibragimov, “Separable algorithmic representations of classical systems and their applications”, Science — Technology — Education — Mathematics — Medicine, CMFD, 67, no. 4, PFUR, M., 2021, 707–754
Citation in format AMSBIB
\Bibitem{KasDadIbr21}
\by N.~Kh.~Kasymov, R.~N.~Dadazhanov, F.~N.~Ibragimov
\paper Separable algorithmic representations of classical systems and their applications
\inbook Science — Technology — Education — Mathematics — Medicine
\serial CMFD
\yr 2021
\vol 67
\issue 4
\pages 707--754
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd444}
\crossref{https://doi.org/10.22363/2413-3639-2021-67-4-707-754}
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  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Современная математика. Фундаментальные направления
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    Full-text PDF :104
    References:26
     
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