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SubcategoryKernelIsogenyClosed monoidal categoryExact sequenceFunctor categoryMonoidDerived categoryMulticategoryMorphismInitial and terminal objectsDiagonal morphismQuotient categoryChain complexAbelian varietyCategoryModel categoryIdentity morphismSmall categoryRepresentable functorEnriched categoryNatural transformationAdditive categoryCategory of small categoriesMonoidal functorCanonical mapIdentity functorF-coalgebraHom functorSolvable groupCategory of topological spacesAbelianizationAlgebraic groupEquivalence of categoriesConcrete categoryFunctorMonoidal categoryElementFormationLocally compact abelian groupClosed categoryGraded ringImageSieveCohomologyLinear algebraic groupToposSymplectomorphismGrothendieck topologyTriangulated categoryBundle mapCoequalizerInjective sheafProduct categoryCategory of modulesDirect sumHomological algebraGroupoidAllegorySemigroupSumsetClass field theoryCartesian closed categoryAbelian von neumann algebraDiscrete categoryGrothendieck categoryBiproductSubmanifoldCategory of relationsG-moduleHom-setAlgebra homomorphismFull functorFinitely generated abelian groupCommutative algebraExponential objectConstant morphismMonomorphismSubobject classifierAdditive groupDirect systemEquivariant cohomologyBialgebraHomomorphismHolomorphic vector bundleInverse systemOperator algebraGroup schemeUniversal propertyMatrix ringProductAlgebraic closureAdjoint functorsAlgebra over a fieldGrothendieck groupSubfunctorObjectCategorificationCoproductCategory theory