Título
A direct proof of the Steinberg property of the Contou-Carrère symbol
Autor(es)
Palabras clave
Steinberg property
Contou-Carrère symbol
Artinian local ring
Clasificación UNESCO
Fecha de publicación
2008-04-15
Editor
Elsevier
Citación
Fernando Pablos Romo, A direct proof of the Steinberg property of the Contou-Carrère symbol, Journal of Algebra, Volume 319, Issue 8, 2008, Pages 3164-3174, ISSN 0021-8693, https://doi.org/10.1016/j.jalgebra.2007.11.003. (https://www.sciencedirect.com/science/article/pii/S0021869307006114)
Resumen
[EN]The aim of this work is to show that, when A is an artinian local ring, the Contou-Carrère symbol satisfies the property of Steinberg symbols: <f,1-f> = 1 for all elements f, 1-f \in A((t))^x. Moreover, we offer a cohomological characterization of the Contou-Carrère symbol from the commutator of a central extension of groups.
URI
ISSN
0021-8693
DOI
10.1016/j.jalgebra.2007.11.003
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