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Tensor product of algebrasIdealCommutative algebraMatrix ringCommutative ringPairingMonoidAlgebra homomorphismQuotient categoryRing of integersIdempotentQuotientAlgebraic integerCenterRing homomorphismCommuting matricesIntegral domainIdeal class groupCategory of relationsMultilinear formAlgebraic fractionMonomorphismMatrix fieldTensor product of fieldsBoolean algebraCoprime integersMatrix congruenceMatrix similarityMaximal idealDiscrete valuation ringIntegral elementDivisorIntegrally closed domainMorita equivalenceSemigroupEquivalence relationAlgebra representationReflexive relationOrderCommutator subgroupPerfect squareGraded ringAlgebra over a fieldAlgebraic closureAscending chain conditionCategory of setsCompletion of a ringRegular sequenceBiquaternionSymmetric matrixAlgebraic functionIsomorphism theoremsFlat moduleInteger matrixSpectral spaceCongruence subgroupSchur complementConjugacy classRigidityIdempotent matrixF-algebraRational numberSubsetSymplectomorphismAdjugate matrixGraph isomorphismCoequalizerProjectionDistributive latticeSemisimple lie algebraMatrix equivalenceFunction spaceProjective unitary groupSimplicial setRelationSemiringNumerical rangeDistributive propertyTor functorModule homomorphismIncidence algebraEuler classHomological algebraSelf-adjointIntersectionResidue fieldLocalizationFrobenius inner productOuter productDedekind domainSymplectic matrixOrthogonal basisSpectrum of a ringUnionSimplicial homologyRadical of an idealAntilinear mapFunction compositionEndomorphism ringAbstract algebraic logic