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Hilbert's basis theoremAlgebraNull setGelfond-schneider theoremNeukirch-uchida theoremBézout's theoremRank-nullity theoremFundamental theoremCharacteristicCantor-bendixson theoremMinimal idealVanishing idealStark-heegner theoremZero divisorNull signUnderlying setRational root theoremPerfect fieldSet theoryNullityNullformSiegel zeroRoot systemSolèr's theoremPrimary idealTarski-seidenberg theoremIdeal numberPseudoalgebraGrothendieck-riemann-roch theoremArithmetic geometryArithmetical setZero matrixAlgebraic number fieldGeometry of numbersNormal extensionNilradicalNullconeNullspaceDomainAx-kochen theoremNumber fieldRing theoryDefinitionAntialgebraσ-algebraZeroEmpty setReduced ringBelyi's theoremAnabelian geometryGround setGröbner basisHarnack's curve theoremSimple algebraAx-grothendieck theoremQuotient setCentral simple algebraAbstract algebraEmpty functionField theoryRoth's theoremGauss-bonnet theoremOrbit-stabilizer theoremAlgebraic number theoryFactor idealTruthsetSimple ringZermelo set theorySchinzel's hypothesis hSuperbialgebraAffine varietyPolynomial basisConstant problemRepresentation theoryRight idealSylow theoremConnectionEuclid's lemmaAlgebraic closureNull matrixFundamental theorem of arithmeticClosed formOrdered fieldRelationQuadratic fieldOrdered setPrime fieldKernelUniversal algebraPrime ringScheme theoryFermat's last theoremPrincipal idealNilsolitonNoetherian ringKodaira vanishing theoremSiegel-walfisz theoremQuotient ringSchemeAnsatz