Purely Inseparable Galois theory I: The Fundamental Theorem

Abstract

We construct a Galois correspondence for finite purely inseparable field extensions $F/K$, generalising a classical result of Jacobson for extensions of exponent one (where $x^p\in K$ for all $x\in F$).

36 pages. Improved presentation

References in corpus (3)

• Deformation Theory and Partition Lie Algebras
• Structure of geometrically non-reduced varieties
• Non-archimedean quantum K-invariants