Algebraic dependence and Milnor K-theory
arXiv:2211.14665
Abstract
This paper shows that algebraic (in)dependence is encoded in Milnor K-theory of fields. As an application, we show that the isomorphism type of a field is determined by its Milnor K-theory, up to purely inseparable extensions, in most situations.
v1: 23 pages; comments welcome!