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Primary idealPrincipal ideal ringPrincipal ideal domainPrime idealFactor idealIdeal numberRadical idealIdealMinimal idealMaximal idealRight idealRadicalPrime ringTwo-sided idealLocal ringFractional idealIdealizerVanishing idealLeft idealSimple ringIdeleQuotient ringPrimitive polynomialHyperidealIntegral elementDedekind domainPrimeIdentity elementPrimitive elementIntegral domainPseudoidealPolynomial ringUnique factorization ringNoetherian ringSpectrumFactor ringCharacteristicSimple algebraRegular elementAlgebraic integerLocalizationReduced ringRingNilradicalPseudoradicalDivision ringValuation ringPerfect fieldRight identityPolynomial algebraSemiringK-algebraCentral simple algebraCommutative algebraPrime fieldZeroModuleIdentityOrdered ringPrincipal rootProduct ringZero divisorNullstellensatzField of fractionsSimple rootRing of fractionsSubringDivision algebraSocleNormal extensionReduced algebraDifferentCoidealAbelian groupEuclid's lemmaPrealgebraAlgebraic numberNormalizerResidue fieldOrdered integral domainPolynomial functionGroup ringCommutative ringField of quotientsUnique factorization domainMinimal polynomialGröbner basisEuclidean domainBoolean ringRational root theoremMatrix algebraExact sequencePrincipal partImaginary unitElementary algebraConductorWeyl algebraAlgebraic number fieldTotal ring of fractionsRegular prime