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单词 AdditiveFormOfHilbertsTheorem90
释义

additive form of Hilbert’s theorem 90


Let L/K be a finite cyclic Galois extensionMathworldPlanetmath and σ a generatorPlanetmathPlanetmathPlanetmath of Gal(L/K). An element yL satisfies Tr(y)=0 if and only if there exists xL satisfying y=x-σ(x). Here Tr denotes the trace in L/K.

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更新时间:2025/5/4 15:25:59