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Higher Derivation Galois Theory of Fields

Higher Derivation Galois Theory of Fields

A Galois correspondence for finitely generated field extensions $k/h$ is presented in the case characteristic $h = p \ne 0$. A field extension $k/h$ is Galois if it is modular and $h$ is separably algebraically closed in $k$. Galois groups are the direct limit of groups of higher derivations having …