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Normal extensionExtension fieldPrimitive elementField extensionSeparable extensionAlgebraic extensionSplitting fieldGalois extensionCompositumConjugateDegreeQuadratic fieldFixed fieldSuperextensionMinimal polynomialAlgebraic closureCentral simple algebraTopological fieldPrime fieldField of fractionsNumber fieldScalar fieldGalois fieldField theoryAdditive groupDivision algebraAlgebraic number fieldConservative extensionKan extensionModuleTranscendence degreeSimple algebraField of scalarsSemifieldPresemifieldAlgebra over a fieldIntegral elementOrdered fieldExtensionalityModern algebraCyclotomic fieldCharacteristicElementary algebraGalois groupK-algebraSeparable polynomialRoot fieldSubringTrivial groupGalois theoryPrimitive polynomialPolynomial basisPerfect fieldAdditive number theoryField of quotientsAbstract algebraCyclic groupScalar multiplicationSimple groupSimple rootAlgebraSubmultialgebraAlternative algebraRegular elementElementary matrixArchimedean ordered fieldFrobenioidComposition algebraVector spaceAssociative algebraSuperringSimple ringFree monoidSimplexField axiomSpecial linear groupZeroNon-associative algebraReduced algebraTranslateAlgebra over a ringTrivial absolute valueFree moduleAbelian algebraAlgebraic functionExtensionAdditionPolynomial ringComplexificationAdeleLinear algebraFactor ringAxiom of extensionalityElementExterior productSkew fieldCommutative ringAnalytic continuationAlgebraic subvarietyMultiplicative operation