Comptes Rendus
no. 23-24
Algebra
Relations of Keune symbols

Presented by: Christophe Soulé

Ziqiang Fan1; Guangtian Song2; Yuzhen Peng2
1 Department of Mathematics, Anhui University of Science and Technology, Huainan, China
2 Department of Mathematics, University of Science and Technology of China, China
Comptes Rendus. Mathématique, Volume 351 (2013) no. 23-24, pp. 865-870.

In this paper, we extend the symbols that Keune defined for commutative rings in 1981 to the non-commutative case and discuss their relations. These relations are similar to those of the commutative case.

Dans cet article, nous étendons la définition des symboles introduits par Keune en 1981 pour les anneaux commutatifs au cas des anneaux non commutatifs, et nous étudions leurs relations. Elles sont similaires à celles du cas commutatif.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2013.11.002

Ziqiang Fan 1; Guangtian Song 2; Yuzhen Peng 2

1 Department of Mathematics, Anhui University of Science and Technology, Huainan, China
2 Department of Mathematics, University of Science and Technology of China, China 
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Ziqiang Fan; Guangtian Song; Yuzhen Peng. Relations of Keune symbols. Comptes Rendus. Mathématique, Volume 351 (2013) no. 23-24, pp. 865-870. doi : 10.1016/j.crma.2013.11.002. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.11.002/

[1] F. Keune Another presentation for the K2 of a local domain, J. Pure Appl. Algebra, Volume 22 (1981), pp. 131-141

[2] F. Keune (Lect. Notes Math.), Volume vol. 1046, Springer-Verlag, Berlin (1984), pp. 193-228

[3] M. Kolster General symbols and presentations of elementary linear groups, J. Reine Angew. Math., Volume 353 (1984), pp. 132-164

[4] J. Milnor Introduction to Algebraic K-Theory, Ann. Math. Stud., vol. 72, Princeton University Press, Princeton, 1971

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