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Fundamentalnaya i Prikladnaya Matematika, 2016, Volume 21, Issue 2, Pages 3–35 (Mi fpm1718)  
This article is cited in 3 scientific papers (total in 3 papers)

Primitive and almost primitive elements of Schreier varieties

V. A. Artamonov, A. V. Klimakov, A. A. Mikhalev, A. V. Mikhalev

Lomonosov Moscow State University
Full-text PDF (306 kB) Citations (3)
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Abstract: A variety of linear algebras is said to be Schreier if any subalgebra of a free algebra of this variety is free. A system of elements of a free algebra is primitive if there is a complement of this system with respect to a free generating set of the free algebra. An element of a free algebra of a Schreier variety is said to be almost primitive if it is not primitive in the free algebra, but it is a primitive element of any subalgebra that contains it. This survey article is devoted to the study of primitive and almost primitive elements of Schreier varieties.
Funding agency Grant number
Russian Science Foundation 16-11-10013
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 237, Issue 2, Pages 157–179
DOI: https://doi.org/10.1007/s10958-019-4148-2
Bibliographic databases:
Document Type: Article
UDC: 512.554+512.554.33+512.554.34+512.554.37+512.554.38+512.572,512.573+510.53+512.543+512.544.42+512.544.43
Language: Russian
Citation: V. A. Artamonov, A. V. Klimakov, A. A. Mikhalev, A. V. Mikhalev, “Primitive and almost primitive elements of Schreier varieties”, Fundam. Prikl. Mat., 21:2 (2016), 3–35; J. Math. Sci., 237:2 (2019), 157–179
Citation in format AMSBIB
\Bibitem{ArtKliMik16}
\by V.~A.~Artamonov, A.~V.~Klimakov, A.~A.~Mikhalev, A.~V.~Mikhalev
\paper Primitive and almost primitive elements of Schreier varieties
\jour Fundam. Prikl. Mat.
\yr 2016
\vol 21
\issue 2
\pages 3--35
\mathnet{http://mi.mathnet.ru/fpm1718}
\elib{https://elibrary.ru/item.asp?id=32057805}
\transl
\jour J. Math. Sci.
\yr 2019
\vol 237
\issue 2
\pages 157--179
\crossref{https://doi.org/10.1007/s10958-019-4148-2}
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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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