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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 272, Pages 294–302 (Mi znsl1378)  

On the reduced Whitehead group of an affine conic

A. S. Sivatski

Saint-Petersburg State Electrotechnical University
Abstract: In the framework of Milnor's $K$-theory we compute $SK_1$ of the ring of regular functions on a conic. We also investigate unimodular rows of this ring from the point of view of the theory of quadratic forms.
Received: 26.06.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 116, Issue 1, Pages 3047–3051
DOI: https://doi.org/10.1023/A:1023423331124
Bibliographic databases:
UDC: 512.667.3
Language: Russian
Citation: A. S. Sivatski, “On the reduced Whitehead group of an affine conic”, Problems in the theory of representations of algebras and groups. Part 7, Zap. Nauchn. Sem. POMI, 272, POMI, St. Petersburg, 2000, 294–302; J. Math. Sci. (N. Y.), 116:1 (2003), 3047–3051
Citation in format AMSBIB
\Bibitem{Siv00}
\by A.~S.~Sivatski
\paper On the reduced Whitehead group of an affine conic
\inbook Problems in the theory of representations of algebras and groups. Part~7
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 272
\pages 294--302
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1378}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1811809}
\zmath{https://zbmath.org/?q=an:1064.19001}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 116
\issue 1
\pages 3047--3051
\crossref{https://doi.org/10.1023/A:1023423331124}
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