Codimension 2
From Mathematics
(→Elementary algebraic K-Theory: K_2) |
(→Elementary algebraic K-Theory: K_2) |
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* Mention that and how <math>K_2(R)</math> is a module over <math>K_0(R)</math>. | * Mention that and how <math>K_2(R)</math> is a module over <math>K_0(R)</math>. | ||
* Introduce the symbol <math>\{a, b\} \in K_2(R)</math> for element <math>a, b \in R</math> of a commutative ring <math>R</math>. | * Introduce the symbol <math>\{a, b\} \in K_2(R)</math> for element <math>a, b \in R</math> of a commutative ring <math>R</math>. | ||
| − | + | Theorem 8.8<ref name="Mil71"/> interprets the symbol as bimultiplicative skew-symmetric map | |
<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> | ||
