Milnor 
-theory
of a field 
is the graded ring obtained
from the tensor algebra of the multiplicative
group 
over 
by imposing the Steinberg relations 
for 
. Its degree-
group is denoted 
, and an elementary tensor gives a symbol 
. Thus 
and 
. The symbols are additive in each multiplicative
argument, and 
in degree 2.
Milnor K-Theory
See also
Algebraic K-Theory, Field, Function Field, Perfect Closure, Tensor Algebra, Transcendence DegreeExplore with Wolfram|Alpha
References
Weibel, C. A. The K-Book: An Introduction to Algebraic K-Theory. Providence, RI: Amer. Math. Soc., 2013. https://sites.math.rutgers.edu/~weibel/Kbook.html.Cite this as:
Weisstein, Eric W. "Milnor K-Theory." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/MilnorK-Theory.html