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Relative reciprocities on Dedekind domains

Published online by Cambridge University Press:  03 June 2013

Frans Keune
Frans Keune*
Affiliation:
Institute for Mathematics, Astrophysics and Particle Physics, Radboud University Nijmegen, P.O. Box 9010, 6500 GL Nijmegen, The Netherlandskeune@math.ru.nl
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Abstract

Exact sequences in algebraic K-theory contain a lot of information. Here it is shown that by using K-theory exact sequences one can easily derive Bass’ description [1] of the SK1 of an ideal in a Dedekind domain in terms of relative reciprocities.

Keywords

Dedekind domainreciprocityalgebraic K-theory19B9919C2019D06
Type
Research Article
Information
Journal of K-Theory , Volume 12 , Issue 1: Nanjing Special Issue on K-theory, number theory and geometry , August 2013 , pp. 125 - 136
Copyright
Copyright © ISOPP 2013 

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References

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