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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2014, Issue 3(114), Pages 67–75
(Mi vsgu353)
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Mathematics
The exactness of the Gersten complex for Adzumaya algebras in equicharacteristic case
A. A. Mingazov St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, St. Petersburg, 191023, Russian Federation
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
One of the well-known problems of algebraic $K$-theory is the Gersten conjecture. In this work we prove a variant of Gersten conjecture for Adzumaya algebras in equicharacteristic case. Geometrical case of this proposition was proved in the article by I. Panin and A. Suslin.
Keywords:
$K$-theory, Gersten conjecture, equicharacteristic ring, Adzumaya algebras.
Received: 06.02.2014 Revised: 06.02.2014
Citation:
A. A. Mingazov, “The exactness of the Gersten complex for Adzumaya algebras in equicharacteristic case”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2014, no. 3(114), 67–75
Linking options:
https://www.mathnet.ru/eng/vsgu353 https://www.mathnet.ru/eng/vsgu/y2014/i3/p67
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Abstract page: | 153 | Full-text PDF : | 54 | References: | 29 |
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