Codimension 2

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(Elementary algebraic K-Theory: K_2)
(Elementary algebraic K-Theory: K_2)
Line 133: Line 133:
 
<math>K_1(R) \times K_1(R) \rightarrow K_2(R)</math>
 
<math>K_1(R) \times K_1(R) \rightarrow K_2(R)</math>
  
* Introduction of Milnor K-groups <math>K_n^M</math> and proof of the statement
+
* Introduction of Milnor K-groups <math>K_n^M</math> and sketch proof of the statement
  
 
<math>K_2^M(R) \cong K_2(R)</math>
 
<math>K_2^M(R) \cong K_2(R)</math>
  
for local rings
+
for fields (cf. §17, §18<ref name="Mil71"/>).
  
 
References: <ref name="Mil71"/>
 
References: <ref name="Mil71"/>

Revision as of 20:51, 5 April 2016

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