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Multiplicative identityZeroIdentityIdentity elementRight identityAdditive groupLeft identityUnitRing homomorphismJacobi identityAlgebraic structureAdditive functionCharacteristicAdditive operationMultiplicative operationBoolean algebraAdditive number theoryPrimitive elementOrdered integral domainField of quotientsIdentity functionAlgebraBoolean ringCommutative algebraRingZero divisorAdditive inverseMonoidAssociateDivision algebraAlgebraic integerDivision ringAbelian algebraUnityRegular elementOppositeAlgebraic numberSimple algebraAlgebraic functionDifference of two squaresAlternative algebraAssociative algebraUnderlying setModuleIdempotentNonidentityElementary matrixGeneric elementPositive measureCommutative ringDual numberAbstract algebraHyperringCongruenceAlgebra over a ringAbelian groupIdentity matrixJordan algebraUniversal algebraUnary operationMathematical structureMultiplicative subsetComposition algebraCoidentityAlgebraic equationAdditionIntegral domainIdealWord problemHomomorphismAdditivenessPrimeComposite numberLaw of identitySemiringK-algebraHyperstructureRoot of unityPseudoalgebraIdeal numberDirect sumLoopAlgebra over a fieldLinear operatorPower-associative algebraArithmetic functionCountable additivityAssociativityAffine combinationIntegerAdditive combinatoricsMatrix algebraPseudo-complementLocalizationAutomorphismModular arithmeticQuasiidentityLinear algebraPolynomial formIntegral element