EntityQ550791· pop 23· linked from 69 articlesalgebraic extensionSign in to savefield extension via adjoining solutions to polynomials with coefficients in the subfieldConnectionsalgebraic elementEntitymathematicsEntityInternational Standard Book NumberEntitycomplex numberEntityreal numberEntityrational numberEntitymathematical proofEntitygroupEntitypolynomialEntityringEntityfieldEntityunionEntityalgebraic numberEntityif and only ifEntityaxiom of choiceEntityalgebraic number theoryEntitymodel theoryEntityalgebraic number fieldEntityZorn's lemmaEntityautomorphismEntityCategoriesField extensions