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- W2331733415 abstract "Let L be a finitely generated extension of a field K having characteristic p ≠ 0. A rank t higher derivation on L over K is a sequence of additive maps of K into K such that d 0 is the identity map and d t (x) = 0, i > 0, x ∊ K . [6] contains the relevant background material on higher derivations. By Zorn's Lemma, there are maximal separable extensions of K in L. A maximal separable extension D of K in L is called distinguished if Dieudonné [4] established that any finitely generated extension always has distinguished subfields. L has the same dimension over any distinguished subfield [5] , and this dimension is called the order of inseparability of L/K . The least n such that K(L P ) n is separable over K is called the inseparable exponent of L/K , inex( L/K )." @default.
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- W2331733415 date "1988-02-01" @default.
- W2331733415 modified "2023-10-18" @default.
- W2331733415 title "Higher Derivations and Distinguished Subfields" @default.
- W2331733415 doi "https://doi.org/10.4153/cjm-1988-006-6" @default.
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