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Matematicheskie Zametki, 1975, Volume 17, Issue 3, Pages 419–422 (Mi mzm7558)  
Reciprocity laws for algebras over function fields

B. M. Bekker

A. A. Zhdanov Leningrad State University
Full-text PDF (318 kB)
Abstract: A study is made of simple central algebras over an algebraic function field of one variable with a number field of constants. It is proved that there exists an algebra with a given collection of local invariants satisfying the reciprocity law under the assumption that the orders of the invariants are odd or the field of constants is purely imaginary.
Received: 23.04.1974
English version:
Mathematical Notes, 1975, Volume 17, Issue 3, Pages 244–246
DOI: https://doi.org/10.1007/BF01149014
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: B. M. Bekker, “Reciprocity laws for algebras over function fields”, Mat. Zametki, 17:3 (1975), 419–422; Math. Notes, 17:3 (1975), 244–246
Citation in format AMSBIB
\Bibitem{Bek75}
\by B.~M.~Bekker
\paper Reciprocity laws for algebras over function fields
\jour Mat. Zametki
\yr 1975
\vol 17
\issue 3
\pages 419--422
\mathnet{http://mi.mathnet.ru/mzm7558}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=396494}
\zmath{https://zbmath.org/?q=an:0321.14015}
\transl
\jour Math. Notes
\yr 1975
\vol 17
\issue 3
\pages 244--246
\crossref{https://doi.org/10.1007/BF01149014}
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