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.
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.
Accepté le :
Publié le :
@article{CRMATH_2013__351_23-24_865_0, author = {Fan, Ziqiang and Song, Guangtian and Peng, Yuzhen}, title = {Relations of {Keune} symbols}, journal = {Comptes Rendus. Math\'ematique}, pages = {865--870}, publisher = {Elsevier}, volume = {351}, number = {23-24}, year = {2013}, doi = {10.1016/j.crma.2013.11.002}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2013.11.002/} }
TY - JOUR AU - Fan, Ziqiang AU - Song, Guangtian AU - Peng, Yuzhen TI - Relations of Keune symbols JO - Comptes Rendus. Mathématique PY - 2013 SP - 865 EP - 870 VL - 351 IS - 23-24 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2013.11.002/ DO - 10.1016/j.crma.2013.11.002 LA - en ID - CRMATH_2013__351_23-24_865_0 ER -
%0 Journal Article %A Fan, Ziqiang %A Song, Guangtian %A Peng, Yuzhen %T Relations of Keune symbols %J Comptes Rendus. Mathématique %D 2013 %P 865-870 %V 351 %N 23-24 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2013.11.002/ %R 10.1016/j.crma.2013.11.002 %G en %F CRMATH_2013__351_23-24_865_0
Fan, Ziqiang; Song, Guangtian; Peng, Yuzhen. Relations of Keune symbols. Comptes Rendus. Mathématique, Tome 351 (2013) no. 23-24, pp. 865-870. doi : 10.1016/j.crma.2013.11.002. http://archive.numdam.org/articles/10.1016/j.crma.2013.11.002/
[1] Another presentation for the of a local domain, J. Pure Appl. Algebra, Volume 22 (1981), pp. 131-141
[2] (Lect. Notes Math.), Volume vol. 1046, Springer-Verlag, Berlin (1984), pp. 193-228
[3] General symbols and presentations of elementary linear groups, J. Reine Angew. Math., Volume 353 (1984), pp. 132-164
[4] Introduction to Algebraic K-Theory, Ann. Math. Stud., vol. 72, Princeton University Press, Princeton, 1971
Cité par Sources :