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RingPolynomial ringFrobenius algebraAlgebraic number fieldRinged spaceEuclidean domainRing theoryDifferential formAlgebra over a fieldLegendre functionLinear differential equationRing of integersTotal ring of fractionsRing of fractionsSeparable polynomialLatticeInvariant basis numberFieldDifferentialDifferential graded algebraDedekind domainAssociative algebraFinitely generated algebraPrimary decompositionDifferential invariantAlgebraic function fieldOrdinary differential equationFinite ringQuotient ringMatrix ringUnique factorization domainFormal derivativeFunctional analysisMultiplicative subsetPoisson algebraIntegral domainSubderivativeAscending chain conditionClass field theoryAlgebraic structureSpecial linear groupGeneralizations of the derivativeSystem of differential equationsWeyl algebraGraded ringAlgebraic number theoryAlgebraic functionFrobenius endomorphismRing homomorphismLinear algebraic groupSeparable extensionLocal ringGenerating set of a groupDistributionAlgebraic analysisCentral simple algebraAdele ringSemialgebraic setNoetherian ringK-theoryElementary functionDual systemDual spaceFinitely generated abelian groupCalculus on euclidean spaceIncidence algebraDifferential operatorAlgebraLie algebra representationProduct metricCharacteristicSymplectic manifoldDifferential equationExact differential equationPolynomial basisFinite fieldGroup of lie typeStructureFinite field arithmeticAlgebraically closed fieldAlgebraic extensionTopological vector spaceBorel setContinuous linear operatorDifferential topologyFinitely generated groupProduct ruleComposition algebraIsomorphism theoremsFundamental representationPartial differential equationAffine groupNormal extensionPaley graphHilbert spaceDivision ringOperator theoryLinear formFundamental groupAlgebra over a ring