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Fundamentalnaya i Prikladnaya Matematika, 2016, Volume 21, Issue 1, Pages 165–180 (Mi fpm1710)  
This article is cited in 1 scientific paper (total in 1 paper)

On the varieties of commutative metabelian algebras

S. P. Mishchenko, N. P. Panov, Yu. Yu. Frolova, Trang Nguyen

Ulyanovsk State University
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Abstract: The paper presents new results on varieties of commutative metabelian algebras over a field of zero characteristic. We study the structure of the multilinear part of the variety of all commutative metabelian algebras as a module of the symmetric group. Two almost nilpotent varieties are introduced and studied in this class of algebras. We prove the nonexistence of other almost nilpotent commutative metabelian varieties of subexponential growth.
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 233, Issue 5, Pages 713–723
DOI: https://doi.org/10.1007/s10958-018-3959-x
Bibliographic databases:
Document Type: Article
UDC: 512.5
Language: Russian
Citation: S. P. Mishchenko, N. P. Panov, Yu. Yu. Frolova, Trang Nguyen, “On the varieties of commutative metabelian algebras”, Fundam. Prikl. Mat., 21:1 (2016), 165–180; J. Math. Sci., 233:5 (2018), 713–723
Citation in format AMSBIB
\Bibitem{MisPanFro16}
\by S.~P.~Mishchenko, N.~P.~Panov, Yu.~Yu.~Frolova, Trang~Nguyen
\paper On the varieties of commutative metabelian algebras
\jour Fundam. Prikl. Mat.
\yr 2016
\vol 21
\issue 1
\pages 165--180
\mathnet{http://mi.mathnet.ru/fpm1710}
\transl
\jour J. Math. Sci.
\yr 2018
\vol 233
\issue 5
\pages 713--723
\crossref{https://doi.org/10.1007/s10958-018-3959-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85050924594}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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