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Differential graded algebraRing of integersMatrix ringGroup ringCommutative ringAlgebraic groupGraded vector spaceGraded lie algebraAdelic algebraic groupSemisimple lie algebraFinitely generated abelian groupSolvable groupSymmetric groupLinear algebraic groupIntegral domainCommutator subgroupAffine groupAbelian varietyCongruence subgroupIdempotentDirect product of groupsGenerating set of a groupHomomorphismFinite ringLattice of subgroupsIdeal class groupRinged spaceAbelian groupEndomorphism ringSemigroupRing theoryComposition algebraRing homomorphismFundamental groupFree abelian groupElementary abelian groupGrothendieck groupRingNoncommutative ringOrderLinear groupAlgebraic closureSemiringCharacteristicCompletion of a ringPrime elementArithmetic groupInner automorphismGroup extensionAbelian categoryG-moduleMonoidMultilinear formAlgebraic integerNon-abelian groupInvariant basis numberAlgebra over a fieldGroup actionIsogenyClass field theoryEuclidean domainAbelian von neumann algebraGalois groupAssociative algebraGroup isomorphismAlgebraic fractionNormCartan decompositionReductive groupPerfect groupComplementFundamental representationFinite groupLatticeAlgebraic number fieldCohomology ringDivision ringQuotientProjective unitary groupSemidirect productRegular sequenceDerived categoryAlgebra homomorphismPolynomial ringCompact groupAlgebraically closed fieldArtinian ringCovering groupHilbert's basis theoremUnique factorization domainPolycyclic groupTensor product of algebrasDivision algebraCyclic groupFree algebraIntegrally closed domainQuasigroupComplex lie groupFundamental group schemeLocally compact abelian group