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Simple ringTwo-sided idealMaximal idealPrime idealPrincipal ideal ringSimple algebraPrincipal idealIdeal numberIdealPrime ringPrimary idealRight idealReduced ringLocal ringVanishing idealFactor idealZero divisorRadical idealIntegral domainNoetherian ringLeft idealRadicalPrincipal ideal domainZeroPseudoidealPseudoradicalMaximalCharacteristicQuotient ringFractional idealDomainNullstellensatzUnique factorization ringNilradicalIdeleDivision ringRegular elementDedekind domainPerfect fieldHyperidealIdealizerDifferentBoolean ringOrdered ringNull setReduced algebraPrime fieldPrimitive elementPrimitive polynomialLocalizationFactor ringDual numberEmpty setSemiringMinimal primeField of fractionsIdeal triangleUnique factorization domainCommutative ringDioidMinimal polynomialInfinityProduct ringIntegral elementOverorderPerfect numberFree moduleHypersemigroupAlgebraCentral simple algebraPoint at infinityInfinitesimalBounded latticeZinbiel algebraCoidealZero matrixIdentity elementNormal extensionOrdered integral domainValuation ringSimple groupSkew fieldTotal ring of fractionsNon-associative algebraCycleNullspaceNull matrixZero objectHalf-open intervalNegligible setSocleTrivial groupPseudoalgebraField of quotientsDivision algebraAlternative algebraUnitRingMinimal surfaceElliptope