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Boolean ringRingoidIdempotentComonoidMonoidZeroidSemiloopoidZeroBimonoidSemigroupoidTomonoidDomainHomeoidQuotoidIdeleHypersemigroupSemiringRight idealIdeal numberHyperidealRingIntegral domainHomoeoidAlgebroidFactor ringCharacteristicPseudomonoidMinimal idealZonoidNormaloidLoopoidDyadMedoidQuantoidArchimedean ordered fieldDedekind domainBiordinalDivision ringCriticoidHomœoidSetoidRackoidConductorBidiscQuotient ringIdealSemimoduleInverse semigroupIdentity elementIdentity functionFactor idealIdentityGaussoidDioperadSimple ringPositroidField of quotientsGroupoidGraphoidSemiradicalGyroidSubsemiringTwo-sided idealProduct ringBimonadUnit diskPseudoringQuasidiskRotoidUnit spherePoweroidMedioidSemiautomatonRing homomorphismRing isomorphismSinusoidCoringUnit circleDromionSemidiskSemigroupBialgebroidAutomorphic numberPrimary idealPrime idealBidegreeCommutative ringZero divisorZroupoidClothoidSemifieldPolynomial algebraBidualDual numberSubgroupoidDifferentiantSemigroup homomorphismLeibniz algebraValuation ringPrincipal ideal ring