Depolarizing pre-pulse

In the mathematical discipline known as K-theory, the Milnor ring of a field F, named after John Milnor, is defined as the graded ring $K_{*}^M(F)$ with unit, generated by symbols $\ell (a)$ (for $a\in F-\{0\}$ of degree one, with relations

$\ell (ab)=\ell (a)+\ell (b),\ell (a)\ell (1-a)=0.$

One can show that $K_0^M(F)=\mathbb{\mathbb{Z}}$, $K_1^M(F)=F-\{0\}$.

The Milnor ring appears as one side of the Milnor conjecture.

References

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