Codimension 2

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(Elementary algebraic K-Theory: K_0 and K_1)
(Elementary algebraic K-Theory: K_0 and K_1)
Line 118: Line 118:
 
* The localization exact sequence, if <math>R</math> is a Dedekind ring, <math>K</math> its quotient field:
 
* The localization exact sequence, if <math>R</math> is a Dedekind ring, <math>K</math> its quotient field:
  
<math>  \bigoplus_{\mathfrak{p}}K_1(R/\mathfrak{p}) \rightarrow K_1(R) \rightarrow K_1(K)  \rightarrow \bigoplus_{\mathfrak{p}}K_1(R/\mathfrak{p}) K_0(R/\mathfrak{p}) \rightarrow K_0(R) \rightarrow K_0(K) \rightarrow 0 </math>
+
<math>  \bigoplus_{\mathfrak{p}}K_1(R/\mathfrak{p}) \rightarrow K_1(R) \rightarrow K_1(K)  \rightarrow \bigoplus_{\mathfrak{p}} K_0(R/\mathfrak{p}) \rightarrow K_0(R) \rightarrow K_0(K) \rightarrow 0 </math>
  
 
References: §1-§5<ref name="Mil71"/>,
 
References: §1-§5<ref name="Mil71"/>,

Revision as of 21:45, 5 April 2016

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