A valuation criterion for normal basis generators in equal positive characteristic
نویسندگان
چکیده
منابع مشابه
A VALUATION CRITERION FOR NORMAL BASIS GENERATORS IN LOCAL FIELDS OF CHARACTERISTIC p
Let K be a complete local field of characteristic p with perfect residue field. Let L/K be a finite, fully ramified, Galois p-extension. If πL ∈ L is a prime element, and p(x) is the derivative of πL’s minimal polynomial over K, then the relative different DL/K is generated by p ′(πL) ∈ L. Let vL be the normalized valuation normalized with vL(L) = Z. We show that any element ρ ∈ L with vL(ρ) ≡ ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2008
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2008.05.024