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Mathematics of the USSR-Sbornik, 1975, Volume 27, Issue 3, Pages 303–324
DOI: https://doi.org/10.1070/SM1975v027n03ABEH002516 (Mi sm3714) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Homotopy of pseudosimplicial groups, nonabelian derived functors, and algebraic $K$-theory

Kh. N. Inasaridze
English version PDF (1447 kB) Citations (10)
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DOI: https://doi.org/10.1070/SM1975v027n03ABEH002516
Abstract: Using the homotopy groups of pseudosimplicial groups, we construct nonabelian derived functors with values in the category of groups. This enables us to obtain algebraic $K$-theory in the category of associative rings as the theory of left derived functors of the covariant functor $GL$.
Bibliography: 20 titles.
Received: 09.01.1975
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1975, Volume 98(140), Number 3(11), Pages 339–362
Bibliographic databases:
UDC: 512.7
MSC: Primary 18F25; Secondary 16A54
Language: English
Original paper language: Russian
Citation: Kh. N. Inasaridze, “Homotopy of pseudosimplicial groups, nonabelian derived functors, and algebraic $K$-theory”, Mat. Sb. (N.S.), 98(140):3(11) (1975), 339–362; Math. USSR-Sb., 27:3 (1975), 303–324
Citation in format AMSBIB
\Bibitem{Ina75}
\by Kh.~N.~Inasaridze
\paper Homotopy of pseudosimplicial groups, nonabelian derived functors, and algebraic $K$-theory
\jour Mat. Sb. (N.S.)
\yr 1975
\vol 98(140)
\issue 3(11)
\pages 339--362
\mathnet{http://mi.mathnet.ru/sm3714}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=470032}
\zmath{https://zbmath.org/?q=an:0331.18018}
\transl
\jour Math. USSR-Sb.
\yr 1975
\vol 27
\issue 3
\pages 303--324
\crossref{https://doi.org/10.1070/SM1975v027n03ABEH002516}
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    • This publication is cited in the following 10 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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    Russian version PDF:137
    English version PDF:16
    References:39
     
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