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单词 NormalClosure
释义

normal closure


Let K be an extension fieldMathworldPlanetmath of F. A normal closurePlanetmathPlanetmathPlanetmath of K/F is a field LK that is a normal extensionMathworldPlanetmath of F and is minimalPlanetmathPlanetmath in that respect, i.e. no proper subfield of L containing K is normal over F. If K is an algebraic extensionMathworldPlanetmath of F, then a normal closure for K/F exists and is unique up to isomorphismPlanetmathPlanetmathPlanetmathPlanetmathPlanetmathPlanetmath.

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