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Category of modulesFlat moduleHomomorphismMatrix ringMultilinear formModule homomorphismGroup ringSubmoduleBimoduleIntegral elementLocalizationMonoidAssociative algebraRing homomorphismRank factorizationInvariant basis numberPairingTensor reshapingEigenvectorLocal ringAlgebra homomorphismPolynomial basisCommutative algebraCompletion of a ringLeft identityNoncommutative ringNoetherian ringProjectionAlgebra over a ringPushforwardSubmanifoldTranspose of a linear mapComposition algebraSplitting fieldAlgebra representationLinear relationFinite morphismModuleGraded ringSubringEquivariant sheafIdentity elementPrincipal ideal ringLeft cosetMultilinear mapCoefficient matrixUnitLie algebra extensionRelative homologyInvariants of tensorsTensor product of algebrasSymmetric polynomialMorphism of algebraic varietiesAlgebraSocleCounitMatrix similarityGroup homomorphismSpecial linear lie algebraQuotient ringMultilinear polynomialRingMonomorphismRing theoryContravariantCommutative ringCenterComplete varietyInner automorphismScalar multiplicationCommutation matrixTensor decompositionOperator algebraTopological tensor productMultiplicative subsetMatrix pencilTensor product of modulesMatrix decompositionFunction compositionRadicalAlgebraic elementInvertible matrixLatticePrimary idealMatrix multiplicationChain ruleHomological algebraRinged spaceComposition of relationsSheaf of modulesFree moduleRow equivalenceTotal ring of fractionsLinear algebraic groupBiquaternionCovariantInvertible sheafCohomology ringPullbackMorphism