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Left identityIdentityIdentity elementRight idealAdditive identityMultiplicative identityZeroIdentity functionLeft idealRight cosetUnitRing homomorphismCongruenceRoot of unityCoidentityIdentity matrixRight eigenvalueHomomorphismIdeal numberRadical idealRegular elementPrincipal idealCharacteristicRingBoolean ringWord problemFactor ringPrimary idealAlgebraic structureGeneric elementRadicalAutomorphismIdeleFactor idealNilradicalNormalizerRight eigenvectorRight inverseLaw of identityPrimeRing isomorphismInner automorphismQuasiidentitySimple rootRingoidQuotient ringPrincipal ideal ringTwo-sided idealIntegral elementElementary matrixPrimitive elementDifference of two squaresImageDirect productDivision ringField of quotientsIntegral domainAssociateIdealRing theoryRealRepresentation theoryFunctional rootZero divisorNonidentityIsomorphismRight angleOrdered fieldAlternativityUnityMaximal idealMappingValuation ringProper rightUnderlying setAlgebraic integerMinimal idealEquivalenceCapelli's identityYoung symmetrizerLocal ringEigenstructureUnique factorization ringExact sequenceUnit matrixLeft inversePrincipal rootRight-angled triangleRational functionRoot systemNormal extensionMorita equivalenceMonoidAlgebraic numberRational root theoremK-algebraLeibniz algebraIdempotentReal axisAlgebraic function