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Commutative ringMultiplicative identityMultiplicative operationSubringLeft idealAdditive groupRight idealRing of fractionsSubmultialgebraBoolean ringIdealModuleAssociative algebraRingCommutantField of quotientsSemigroupDivision ringDivision algebraRing homomorphismCommutative algebraFree monoidMonoidAbelian algebraCharacteristicPrimitive elementAlgebra over a ringClosurePolynomial ringLinear subspaceMultiringMatrix algebraScalar multiplicationUnique factorization ringPolynomial algebraCosetSubgroupoidIntegral domainOrdered integral domainOrdered ringQuotient ringAlgebraσ-algebraCommutatorZeroAssociateMeasurable setRight cosetDirect sumK-algebraIntegral elementLocal ringModular arithmeticLocalizationComposition algebraDirect productProduct ringAdditive number theoryRegular elementTotal ring of fractionsMultiplicative inverseSuperringPresemifieldCentral simple algebraSumsetAdditive identityResidue fieldPrimitive polynomialCombinatorial commutative algebraMultipleeReduced ringOrdered fieldComultiplicationOverorderProductAdditive combinatoricsSemigroupoidComposite numberMultialgebraAlgebraic posetMultilinear formPower-associative algebraReduced algebraR-moduleDifference setFractional idealFactor ringMicrosupportLinear combinationPrimary idealAbelian groupComplete latticeGroup ringNormalizerSimple ringAlternative algebraFree moduleSemiringHyperringMultiplicative numeral