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Integral domainPrincipal ideal domainEuclidean domainField of quotientsDedekind domainUnique factorization domainOrdered fieldIntegralDomainValuation ringPrimitive polynomialAlgebraic integerPositive measureCharacteristicNoetherian domainFractional idealDivision algebraAdditive identityDomain theoryRight idealAssociateAlgebraic number fieldPolynomial formIdeal numberLine integralDivision ringNumber fieldAlgebraic structureAdditive number theoryAdditive groupInclusionInclusion functionSurface integralMultiplicative subsetAlgebraic numberZeroPolynomial functionOrdered ringIdealVolume integralAntidomainIntegral elementOverringIntegersLeft idealAlgebra over a ringBoolean algebraImagePrimary idealField of fractionsTopological fieldAlgebraSimple algebraModular arithmeticRing of fractionsPrincipal idealEisenstein integerPower domainMultiplicative identityPolynomial ringIdentity elementMinimal idealIntegerModuleReal number systemRadical idealK-algebraGaussian integerUnique factorization ringTotal ring of fractionsZero divisorBoolean ringPrincipal ideal ringAlgebra over a fieldCodomainFactor idealNormal extensionValuationCyclotomic fieldDirect systemArithmetic functionTwo-sided idealMaximal idealRadicalQuotient ringComplex measureRing homomorphismDedekind ringAlgebraic functionDual numberClifford algebraSubringPerfect fieldAlgebraic notationPolynomial algebraAlgebraic posetClosed intervalRingAssociative algebraPrimitive element