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Fundamentalnaya i Prikladnaya Matematika, 2003, Volume 9, Issue 3, Pages 199–212 (Mi fpm743)  
This article is cited in 5 scientific papers (total in 5 papers)

Pair analysis of involutive divisions

A. S. Semenov

M. V. Lomonosov Moscow State University
Full-text PDF (153 kB) Citations (5)
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Abstract: The main goal of this work is to describe a new approach to the study of involutive divisions using the pairwise property. The paper presents a simple and intuitive method for constructing the Janet division and reveals the deep intrinsic relationship between Janet division and $\mathrm{Lex}$-ordering. A method for constructing some analogues of the Janet division for other orders is described. An example of pairwise, continuous, and nonconstructive involutive division is given.
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 135, Issue 5, Pages 3400–3408
DOI: https://doi.org/10.1007/s10958-006-0169-8
Bibliographic databases:
UDC: 519.61
Language: Russian
Citation: A. S. Semenov, “Pair analysis of involutive divisions”, Fundam. Prikl. Mat., 9:3 (2003), 199–212; J. Math. Sci., 135:5 (2006), 3400–3408
Citation in format AMSBIB
\Bibitem{Sem03}
\by A.~S.~Semenov
\paper Pair analysis of involutive divisions
\jour Fundam. Prikl. Mat.
\yr 2003
\vol 9
\issue 3
\pages 199--212
\mathnet{http://mi.mathnet.ru/fpm743}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2094339}
\zmath{https://zbmath.org/?q=an:1080.68115}
\transl
\jour J. Math. Sci.
\yr 2006
\vol 135
\issue 5
\pages 3400--3408
\crossref{https://doi.org/10.1007/s10958-006-0169-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33744744363}
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  • https://www.mathnet.ru/eng/fpm/v9/i3/p199
    • This publication is cited in the following 5 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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    References:45
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