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Mathematics of the USSR-Sbornik, 1969, Volume 8, Issue 3, Pages 383–400
DOI: https://doi.org/10.1070/SM1969v008n03ABEH001279 (Mi sm3595) 		 
This article is cited in 93 scientific papers (total in 93 papers)

On the stabilization of the general linear group over a ring

L. N. Vaserstein
English version PDF (842 kB) Citations (93)
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DOI: https://doi.org/10.1070/SM1969v008n03ABEH001279
Abstract: We are concerned with the theory of matrix determinants (more precisely, the Whitehead determinant) over any associative ring from the algebraic point of view, i.e. $K_1$-theory. The main goal of the paper is to prove the results on the “stabilization” of the general linear group over a ring, which were announced by the author in the journal “Functional analysis”, vol. 3, № 2 (1969). In passing we reproduce all the results of H. Bass and the author relating to this.
Bibliography: 9 titles.
Received: 12.12.1968
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1969, Volume 79(121), Number 3(7), Pages 405–424
Bibliographic databases:
UDC: 512.864
MSC: 19B14, 19B10, 19B28, 15A15, 16S50
Language: English
Original paper language: Russian
Citation: L. N. Vaserstein, “On the stabilization of the general linear group over a ring”, Mat. Sb. (N.S.), 79(121):3(7) (1969), 405–424; Math. USSR-Sb., 8:3 (1969), 383–400
Citation in format AMSBIB
\Bibitem{Vas69}
\by L.~N.~Vaserstein
\paper On~the stabilization of the general linear group over a~ring
\jour Mat. Sb. (N.S.)
\yr 1969
\vol 79(121)
\issue 3(7)
\pages 405--424
\mathnet{http://mi.mathnet.ru/sm3595}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=267009}
\zmath{https://zbmath.org/?q=an:0238.20057}
\transl
\jour Math. USSR-Sb.
\yr 1969
\vol 8
\issue 3
\pages 383--400
\crossref{https://doi.org/10.1070/SM1969v008n03ABEH001279}
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    • This publication is cited in the following 93 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:1239
    Russian version PDF:340
    English version PDF:27
    References:38
     
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