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Free algebraPolynomial ringPrime-counting functionSpectrum of a ringFactorization of polynomialsDedekind domainRational functionIntegral domainAlgebraic numberPrimeFundamental theorem of arithmeticRing theoryPrime powerUnique factorization domainRadical of an idealPrincipal idealAlgebraic expressionMonomial orderRational numberModular multiplicative inverseSquare numberDivisor functionMonoidEuclidean domainPrime number theoremPolynomialMatrix ringSuper-primeCharacteristic polynomialArithmetic groupAlgebraic integerCircular primePrimes in arithmetic progressionCoprime integersQuotient ringRamanujan primeFrobenius endomorphismElementary symmetric polynomialSum of two squares theoremCommutative ringCommutator subgroupCommutative algebraQuadratic reciprocityCharacteristicPalindromic primeIrreducible elementIdeal class groupRegular sequenceIdempotentDiophantine equationAlgebraic number theoryComplex numberAlgebraic elementElementGraded ringArchimedean propertyCyclotomic polynomialLinear algebraic groupPerfect powerModuli spaceSquare triangular numberQuotientGeneralized inverseIsomorphism theoremsSemiringCongruence subgroupPartially ordered setClass field theoryRing of integersMaximal idealFundamental representationNoncommutative ringEuclid numberPartitionEisenstein's criterionFormal derivativeAlgebraic number fieldArtinian ringLocal ringP-adic numberLie algebra representationArithmetic derivativeComposition algebraCartan decompositionPrimorialRoot of unity modulo nFieldGroup of lie typeInvariants of tensorsPrimary idealAscending chain conditionTranscendental number theoryPartition of a setPolynomial matrixDivisorProbability measureGenerating set of a groupSemisimple lie algebraRingIndicator function