Codimension 2
From Mathematics
(→Elementary algebraic K-Theory: K_0 and K_1) |
(→Elementary algebraic K-Theory: K_0 and K_1) |
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* The definition of <math>K_0(R)</math> for a ring <math>R</math> and <math>K_0(X)</math> for a variety <math>X</math>. | * The definition of <math>K_0(R)</math> for a ring <math>R</math> and <math>K_0(X)</math> for a variety <math>X</math>. | ||
| − | * The Whitehead Lemma, 3.1<ref name="Mil71"/> | + | * The Whitehead Lemma, 3.1<ref name="Mil71"/> and the definition of <math>K_1(R)</math> |
| + | * The localization exact sequence, if <math>R</math> is a local ring <math>K</math> its quotient field and <math>k</math> its residue field: | ||
| + | |||
| + | <math> K_1(k) \rightarrow K_1(R) \rightarrow K_1(K) \rightarrow 0 \rightarrow K_0(k) \rightarrow K_0(R) \rightarrow K_0(K) \rightarrow 0 </math> | ||
References: <ref name="Mil71"/> | References: <ref name="Mil71"/> | ||
