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Quotient ringPrimary idealIdealRadical idealPrincipal idealIdeal numberFractional idealPrime idealFactor ringPrincipal ideal ringRight idealRadicalIdealizerPrime ringUnique factorization ringMaximal idealMinimal idealTwo-sided idealSimple ringCharacteristicLeft idealNoetherian ringPrincipal ideal domainVanishing idealResidue classLocalizationIntegral elementTotal ring of fractionsLocal ringOrdered ringValuation ringProduct ringRing of fractionsIdeleDedekind domainUnique factorization domainIntegral domainCoidealResidue fieldReduced ringRational functionField of fractionsHyperidealQuotient setGroup ringField of quotientsPseudoidealPolynomial algebraDivision ringRing isomorphismReduced algebraZero divisorRing theoryPrimitive polynomialDirect productPolynomial ringConductorCommutative ringBoolean ringPerfect fieldCommutative algebraRingIdentity elementPseudoradicalRegular elementDifferentModulePolynomial functionNullstellensatzCenterImaginary unitQuotient groupAlgebraic number fieldCototientGröbner basisSpectrumK-algebraCosetPolynomial basisAlgebraic integerSocleRight identityEuclid's lemmaWeyl algebraRing homomorphismSplitting fieldSubringEquivalence classRingoidRight cosetCentral simple algebraContentRational root theoremDomainDivision algebraRing theoristAlgebraic closureAlgebraic numberEuclidean domainConjugate