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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 4, Pages 134–141 (Mi timm759)  
This article is cited in 23 scientific papers (total in 23 papers)

Elementary nets in linear groups

V. A. Koibaevab

a South Mathematical Institute of VSC RAS
b North-Ossetia State University
Full-text PDF (155 kB) Citations (23)
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Abstract: For an elementary net (a net without diagonal) of additive subgroups of an arbitrary commutative ring, we define a derivative net, the closure of the net, and a net associated with the elementary group. A factorization of the elementary group is presented and used to construct an example of a closed (admissible) net that cannot completed to the (complete) net.
Keywords: net, elementary net, closed net, net group, elementary group, transvection.
Received: 16.03.2011
Bibliographic databases:
Document Type: Article
UDC: 519.46
Language: Russian
Citation: V. A. Koibaev, “Elementary nets in linear groups”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 4, 2011, 134–141
Citation in format AMSBIB
\Bibitem{Koi11}
\by V.~A.~Koibaev
\paper Elementary nets in linear groups
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2011
\vol 17
\issue 4
\pages 134--141
\mathnet{http://mi.mathnet.ru/timm759}
\elib{https://elibrary.ru/item.asp?id=17870432}
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  • https://www.mathnet.ru/eng/timm/v17/i4/p134
    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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