Article ID Journal Published Year Pages File Type
4588306 Journal of Algebra 2008 11 Pages PDF
Abstract

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〉A(×(t))=1 for all elements f,1−f∈A(×(t)). Moreover, we offer a cohomological characterization of the Contou-Carrère symbol from the commutator of a central extension of groups.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory