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Dedekind domainNoetherian domainUnique factorization domainPolynomial algebraEuclidean domainDomainDedekind cutValuation ringIntegral domainRing theoristFactor ringPrincipal ideal domainPrincipal ideal ringProduct ringOrdered integral domainNumber fieldQuotient ringDivision ringFractional idealNoetherian ringAdeleBoolean ringField of fractionsPolynomial ringTotal ring of fractionsOverringReduced algebraFrobenius endomorphismKummer ringPrimitive polynomialDirect productSimple ringConductorRoot fieldRing of fractionsRingAlgebraic normal formFactor idealOrdered ringSplitting fieldIdelePrimary idealUnique factorization ringReduced ringDioidLocal ringIdealPseudoringRight idealGrothendieck universeFiberingRing isomorphismSkew fieldCoringFree abelian groupAntidomainRing theoryRingoidSubringGroup ringDynkin diagramHerbrand-ribet theoremFuglede's conjectureWeyl algebraDomain theoryEnhanconField of quotientsPrime ringRadicalLeibniz algebraCharacteristicLeft idealIntegral elementCommutative ringSuperringDe rham curvePrime idealPower domainPlurigenusCentral simple algebraModular calculusSierpinski gasketPrevarietyArchimedean ordered fieldOckham algebraAx-kochen theoremOverorderDegreeAssociateHilbert's basis theoremZero divisorPseudoradicalHyperalgebraK-algebraGalois fieldCodomainStark-heegner theoremSurface integralPerfect fieldSuperdialgebra