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Zapiski Nauchnykh Seminarov LOMI, 1978, Volume 75, Pages 110–120 (Mi znsl3791)  
This article is cited in 1 scientific paper (total in 1 paper)

Quadratic spaces and quaternion algebras

V. I. Kopeiko
Full-text PDF (2465 kB) Citations (1)
Abstract: It is shown that the existence of a nontrivial quaternion algebra over a field $F$ of characteristic not equal to 2 implies the existence of quadratic $F[X_1,\dots,X_n]$-spaces ($n\ge2$) which are not extensions of $F$. Bibl. 11 titles.
English version:
Journal of Soviet Mathematics, 1987, Volume 37, Issue 2, Pages 990–998
DOI: https://doi.org/10.1007/BF01089092
Bibliographic databases:
Document Type: Article
UDC: 519.46
Language: Russian
Citation: V. I. Kopeiko, “Quadratic spaces and quaternion algebras”, Rings and linear groups, Zap. Nauchn. Sem. LOMI, 75, "Nauka", Leningrad. Otdel., Leningrad, 1978, 110–120; J. Soviet Math., 37:2 (1987), 990–998
Citation in format AMSBIB
\Bibitem{Kop78}
\by V.~I.~Kopeiko
\paper Quadratic spaces and quaternion algebras
\inbook Rings and linear groups
\serial Zap. Nauchn. Sem. LOMI
\yr 1978
\vol 75
\pages 110--120
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3791}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=498535}
\zmath{https://zbmath.org/?q=an:0612.16008|0459.16015}
\transl
\jour J. Soviet Math.
\yr 1987
\vol 37
\issue 2
\pages 990--998
\crossref{https://doi.org/10.1007/BF01089092}
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  • https://www.mathnet.ru/eng/znsl/v75/p110
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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