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SubcategoryFlat moduleDirect systemMatrix ringInvariant basis numberModule homomorphismIdentity morphismAssociative algebraMonoidDiagonal morphismFunctor categoryCommutative algebraExact sequenceChange of ringsHomomorphismGroup ringCategory of small categoriesInitial and terminal objectsSymmetric groupIdentity functorInverse systemAlgebra representationSubmoduleHom-setLatticeFundamental groupRing homomorphismModuleFull functorPairingCategory of topological spacesClosed monoidal categoryFunctorEquivariant sheafModel categoryMorphismPrincipal ideal ringTensor product of algebrasAlgebra over a ringHomological algebraAbelian categoryLinear algebraic groupCartesian closed categoryAlgebraUnitCategory of relationsCommutative ringMultiplicative subsetSmall categoryLinear relationGalois cohomologyCommutator subgroupSubfunctorRing theoryLocal ringFukaya categoryRinged spaceSlice categoryEnriched categorySieveCompletion of a ringCohomology ringRepresentable functorQuotient categoryTranspose of a linear mapGroup isomorphismAlgebra homomorphismNoetherian ringEpimorphismCategoryHom functorModuli of algebraic curvesMonoidal functorSubobjectOperator algebraIsogenyIsometry groupIntegral elementProjective moduleTotal ring of fractionsPolynomial basisCoproductSheaf of modulesMultilinear formFinite morphismLie algebra representationEquivalence of categoriesAutomorphism groupDerived categoryMorphism of algebraic varietiesQuotient ringLattice of subgroupsCohomologyAffine groupInner automorphismMonomorphismGorenstein ringAlgebraic closureCentral simple algebraTor functor