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Algebraic closureAlgebraic extensionField extensionSeparable polynomialMinimal polynomialSeparable extensionRoot fieldExtension fieldPolynomial basisNormal extensionGalois extensionField of fractionsGalois fieldConjugatePerfect fieldCompositumGalois theoryPrimitive polynomialDivision algebraFixed fieldSimple extensionPrimitive elementTranscendence degreePolynomial ringPolynomial algebraField of quotientsQuadratic fieldDegreeK-algebraInteger factorizationNumber fieldAlgebraic number fieldGalois groupFractional idealNormal basisAlgebra over a fieldPolynomial formLaurent polynomialPresemifieldSpecial linear groupUnique factorization ringFrobenius endomorphismDedekind domainContentGröbner basisCentral simple algebraSchinzel's hypothesis hComposition algebraOrdered fieldPolynomial functionPolynomialCharacteristicUnique factorization domainEuclidean domainResidue fieldField theoryField of scalarsCyclotomic fieldIrreducibleScalar fieldPolynomial equationPseudopolynomialReduced algebraFactorizationPrime decompositionFactoringKazhdan-lusztig polynomialVanishing idealSkew fieldSemifieldP-adic absolute valueGeneral linear groupSolvable groupEuclid's lemmaIntegral elementLagrange polynomialFactor idealWeyl algebraElliptic curvePrime fieldFermat's little theoremEigendecompositionQuasifieldFree boolean algebraKarp reductionLeft idealLocalizationAx-kochen theoremTschirnhaus transformationSplit-complex numberElementary symmetric polynomialDiophantine geometryRing of fractionsSingular value decompositionP-adic normDivision ringFactor spaceMultilinear formAx-grothendieck theoremFactor ring