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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 290, Pages 34–42
DOI: https://doi.org/10.1134/S0371968515030036 (Mi tm3638) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Tangent space to Milnor $K$-groups of rings

S. O. Gorchinskiy, D. V. Osipov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (191 kB) Citations (8)
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DOI: https://doi.org/10.1134/S0371968515030036
Abstract: We prove that the tangent space to the $(n+1)$th Milnor $K$-group of a ring $R$ is isomorphic to the group of $n$th absolute Kähler differentials of $R$ when the ring $R$ contains $1/2$ and has sufficiently many invertible elements. More precisely, the latter condition means that $R$ is weakly $5$-fold stable in the sense of Morrow.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: March 15, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 290, Issue 1, Pages 26–34
DOI: https://doi.org/10.1134/S0081543815060036
Bibliographic databases:
Document Type: Article
UDC: 512.666
Language: Russian
Citation: S. O. Gorchinskiy, D. V. Osipov, “Tangent space to Milnor $K$-groups of rings”, Modern problems of mathematics, mechanics, and mathematical physics, Collected papers, Trudy Mat. Inst. Steklova, 290, MAIK Nauka/Interperiodica, Moscow, 2015, 34–42; Proc. Steklov Inst. Math., 290:1 (2015), 26–34
Citation in format AMSBIB
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\by S.~O.~Gorchinskiy, D.~V.~Osipov
\paper Tangent space to Milnor $K$-groups of rings
\inbook Modern problems of mathematics, mechanics, and mathematical physics
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2015
\vol 290
\pages 34--42
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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