Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2012, Number 5, Pages 19–24 (Mi vmumm525)  
This article is cited in 4 scientific papers (total in 4 papers)

Mathematics

Almost primitive elements of free nonassociative (anty)commutative algebras of small rank

A. V. Klimakov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (231 kB) Citations (4)
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Abstract: Criteria for homogeneous elements to be almost primitive are obtained and algorithms to recognize homogeneous almost primitive elements are constructed for free nonassociative commutative and anticommutative algebras of rank $1$ and $2$.
Key words: free nonassociative commutative algebras, free nonassociative anticommutative algebras, primitive elements, almost primitive elements.
Received: 17.10.2011
Revised: 02.11.2011
English version:
Moscow University Mathematics Bulletin, 2012, Volume 67, Issue 5-6, Pages 206–210
DOI: https://doi.org/10.3103/S002713221205004X
Bibliographic databases:
Document Type: Article
UDC: 512.554
Language: Russian
Citation: A. V. Klimakov, “Almost primitive elements of free nonassociative (anty)commutative algebras of small rank”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 5, 19–24; Moscow University Mathematics Bulletin, 67:5-6 (2012), 206–210
Citation in format AMSBIB
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\paper Almost primitive elements of free nonassociative (anty)commutative algebras of small rank
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2012
\issue 5
\pages 19--24
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\transl
\jour Moscow University Mathematics Bulletin
\yr 2012
\vol 67
\issue 5-6
\pages 206--210
\crossref{https://doi.org/10.3103/S002713221205004X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84870942493}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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