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Fundamentalnaya i Prikladnaya Matematika, 2015, Volume 20, Issue 1, Pages 23–37 (Mi fpm1626)  
This article is cited in 2 scientific papers (total in 3 papers)

On the multiplicative groups of free and free commutative quasigroups

M. M. Glukhov

Academy of Cryptography of Russian Federation
Full-text PDF (177 kB) Citations (3)
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Abstract: We study the structure of the multiplicative groups for the relatively free algebras of some quasigroup varieties, in particular, for the varieties of all quasigroups, all commutative quasigroups, and all TS-quasigroups. In all these cases, the corresponding multiplicative group is free. The work is dedicated to the glorious memory of Prof. Alexandr Alexandrovich Nechaev, who actively explored the possibility of application of quasigroups in cryptography during recent years.
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 223, Issue 5, Pages 508–517
DOI: https://doi.org/10.1007/s10958-017-3364-x
Bibliographic databases:
Document Type: Article
UDC: 512.548.7
Language: Russian
Citation: M. M. Glukhov, “On the multiplicative groups of free and free commutative quasigroups”, Fundam. Prikl. Mat., 20:1 (2015), 23–37; J. Math. Sci., 223:5 (2017), 508–517
Citation in format AMSBIB
\Bibitem{Glu15}
\by M.~M.~Glukhov
\paper On the multiplicative groups of free and free commutative quasigroups
\jour Fundam. Prikl. Mat.
\yr 2015
\vol 20
\issue 1
\pages 23--37
\mathnet{http://mi.mathnet.ru/fpm1626}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3451664}
\elib{https://elibrary.ru/item.asp?id=25686549}
\transl
\jour J. Math. Sci.
\yr 2017
\vol 223
\issue 5
\pages 508--517
\crossref{https://doi.org/10.1007/s10958-017-3364-x}
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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
    		Фундаментальная и прикладная математика
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