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Algebra i Analiz, 2007, Volume 19, Issue 6, Pages 117–125 (Mi aa148)  

This article is cited in 7 scientific papers (total in 7 papers)

Research Papers

A variant of a theorem by Springer

I. Paninab, U. Rehmannb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Fakultät für Mathematik, Universität Bielefeld, Bielefeld, Germany
Full-text PDF (209 kB) Citations (7)
References:
Abstract: The theorem in question gives a sufficient condition for a quadratic space over a local ring $R$ to contain a hyperbolic plane over $R$.
Keywords: Quadratic forms, Springer's theorem, local domain.
Received: 30.07.2007
English version:
St. Petersburg Mathematical Journal, 2008, Volume 19, Issue 6, Pages 953–959
DOI: https://doi.org/10.1090/S1061-0022-08-01029-7
Bibliographic databases:
Document Type: Article
MSC: Primary 53A04; Secondary 52A40, 52A10
Language: English
Citation: I. Panin, U. Rehmann, “A variant of a theorem by Springer”, Algebra i Analiz, 19:6 (2007), 117–125; St. Petersburg Math. J., 19:6 (2008), 953–959
Citation in format AMSBIB
\Bibitem{PanReh07}
\by I.~Panin, U.~Rehmann
\paper A~variant of a~theorem by Springer
\jour Algebra i Analiz
\yr 2007
\vol 19
\issue 6
\pages 117--125
\mathnet{http://mi.mathnet.ru/aa148}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2411641}
\zmath{https://zbmath.org/?q=an:1206.13008}
\transl
\jour St. Petersburg Math. J.
\yr 2008
\vol 19
\issue 6
\pages 953--959
\crossref{https://doi.org/10.1090/S1061-0022-08-01029-7}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000267497100005}
Linking options:
  • https://www.mathnet.ru/eng/aa148
  • https://www.mathnet.ru/eng/aa/v19/i6/p117
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и анализ St. Petersburg Mathematical Journal
    Statistics & downloads:
    Abstract page:380
    Full-text PDF :126
    References:51
    First page:7
     
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