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Fundamentalnaya i Prikladnaya Matematika, 2014, Volume 19, Issue 2, Pages 25–42 (Mi fpm1576)  

This article is cited in 2 scientific papers (total in 2 papers)

Prime radical of loops and $\Omega$-loops. I

A. V. Gribov, A. V. Mikhalev

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (205 kB) Citations (2)
References:
Abstract: In this paper, main properties of a commutator of two normal subloops of a loop are considered. The notion of a prime radical of loops is introduced and its characterization as a set of strongly Engel elements is given. Also an $\Omega$-prime radical of $\Omega$-loops is defined and its elementwise characterization is given.
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 213, Issue 2, Pages 145–157
DOI: https://doi.org/10.1007/s10958-016-2707-3
Bibliographic databases:
Document Type: Article
UDC: 512.548.77+512.552.12
Language: Russian
Citation: A. V. Gribov, A. V. Mikhalev, “Prime radical of loops and $\Omega$-loops. I”, Fundam. Prikl. Mat., 19:2 (2014), 25–42; J. Math. Sci., 213:2 (2016), 145–157
Citation in format AMSBIB
\Bibitem{GriMik14}
\by A.~V.~Gribov, A.~V.~Mikhalev
\paper Prime radical of loops and $\Omega$-loops.~I
\jour Fundam. Prikl. Mat.
\yr 2014
\vol 19
\issue 2
\pages 25--42
\mathnet{http://mi.mathnet.ru/fpm1576}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431914}
\transl
\jour J. Math. Sci.
\yr 2016
\vol 213
\issue 2
\pages 145--157
\crossref{https://doi.org/10.1007/s10958-016-2707-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84954485947}
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  • https://www.mathnet.ru/eng/fpm1576
  • https://www.mathnet.ru/eng/fpm/v19/i2/p25
  • This publication is cited in the following 2 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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    Full-text PDF :141
    References:58
     
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