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Commutative propertyOperator associativityAbelian groupJacobi identityInvariantRotational invarianceNon-associative algebraDistributive propertyAntisymmetric relationAssociativityAnticommutative propertyIdentity elementSymmetric functionEquationAsymmetric relationMatrix multiplicationMonotonic functionMathematical notationCombinationIdentity functionGroupConverse relationSymmetric polynomialCommutative algebraIdempotencePermutationSemigroupOperandSubadditivityEquivalence relationBinary operationIrreducible polynomialMonoidCountable additivityAlgebra of setsLike termsIdentityPermutation matrixExpressionAssociative algebraPower-associative algebraRingMatrix additionInequalitySimple algebraSymmetric differenceInverse functionPartition of a setChurch-rosser theoremPolynomialRecurrence relationAlgebraic independenceNoncommutative ringAdditive inverseGeneralized inverseRegular sequenceCommutative ringOperationAntihomomorphismAlgebraic expressionRelationIrreducible elementAlternative algebraPascal's ruleComposition algebraTree rotationMonotone functionScale invarianceClosureDouble negationExtensionalitySymmetric bilinear formEven and odd functionsOrthogonalityTranscendental functionPolynomial expansionSchur product theoremCartesian productSymmetryAlgebraic operationNonidentityPythagorean additionMultiplicative inverseAtomic formulaConservation lawInclusion functionFixed setOrder of operationsMultiplication tableNonlinear systemAxiomatic systemInteger complexityHomogeneous functionConserved quantityMultilinear polynomialFunction compositionMultiplicative functionAnalytic function of a matrixFieldPoisson algebra