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Separable extensionAlgebraic extensionSimple extensionExtension fieldField extensionAlgebraic closureGalois extensionSplitting fieldPerfect fieldSeparable polynomialAlgebraic number fieldConjugateQuadratic fieldMinimal polynomialAlgebraic functionPrimitive polynomialDivision algebraPolynomial basisDegreeTranscendence degreeFixed fieldPrimitive elementSuperextensionAlgebraic numberAlgebra over a fieldK-algebraAlgebraPolynomial ringAlgebraic integerNumber fieldCentral simple algebraField of fractionsRoot fieldIntegral elementPolynomialField of quotientsGalois fieldAbstract algebraEuclidean domainNormal basisSimple algebraPolynomial formMultiple rootSimple rootOrdered fieldExtensionalityPolynomial algebraPresemifieldElementary algebraPolynomial equationUniversal algebraCompositumRational functionSubringLocalizationMaximal idealRight idealAlgebra over a ringModern algebraFree moduleField theoryIntegral domainCharacteristicRational root theoremAffine varietyPolynomial functionNullstellensatzRoot systemRegular elementAlternative algebraPrime fieldTotal ring of fractionsGalois groupComposition algebraConservative extensionPrincipal ideal domainTopological fieldIdeal numberReduced algebraValuation ringModuleReal vector spaceResidue fieldGalois theoryVanishing idealCyclotomic fieldAlgebraic varietyOverringFunctional rootAdditive groupAlgebraic number theoryDedekind domainEuclidean spaceLeft idealJordan algebraLocal ringCongruenceAlgebraic geometryFactor ringArithmetic geometry