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Separable polynomialNormal extensionAlgebraic extensionGalois extensionSimple extensionSplitting fieldExtension fieldAlgebraic closureField extensionDivision algebraPerfect fieldQuadratic fieldPolynomial basisAlgebraic number fieldConjugatePrimitive elementRoot fieldField of quotientsK-algebraNumber fieldPresemifieldIntegral elementAlgebra over a fieldOrdered fieldPrimitive polynomialMinimal polynomialCompositumSuperseparabilityPolynomial ringField of fractionsGalois fieldTranscendence degreeAlgebraic functionPolynomial algebraSuperringAlternative algebraAbstract algebraSemifieldAlgebraEuclidean domainFixed fieldCentral simple algebraComposition algebraDegreeAlgebraic numberAlgebraic posetSuperextensionResidue fieldFree moduleScalar fieldPolynomialElementary algebraSubringAlgebraic integerSemiringTopological fieldPolynomial formσ-algebraAlgebra over a ringAdditive groupAssociative algebraSimple algebraFactor ringPrime fieldAssociateNon-associative algebraBasisAlgebraic subvarietySkew fieldPolynomial equationSuperbialgebraRegular elementRational functionGalois theoryGalois groupUnique factorization ringSemialgebraArithmetic geometrySplit-complex numberFree monoidMultiple rootSimple rootReduced algebraSubmultialgebraField of scalarsCommutative algebraField theoryNoetherian moduleDivision ringPseudoalgebraExact sequenceDedekind domainSynthetic divisionAlgebraic groupModuleAlgebraic structureIrreducibleExterior productUnderlying setPrealgebra