Purely inseparable extension: Difference between revisions

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A purely separable extension is called a '''modular extension''' if it is a tensor product of simple extensions, so in particular every extension of exponent 1 is modular, but there are non-modular extensions of exponent 2 {{harv|Weisfeld|1965}}.

{{harvtxt|Sweedler|1968}} and {{harvtxt|Gerstenhaber|Zaromp|1970}} gave an extension of the Galois correspondence to modular purely inseparable extensions, where derivations are replaced by higher derivations.

==See also==

*[[Jacobson–Bourbaki theorem]]

==References==