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Principal ideal domainMinimal idealPrincipal ideal ringIntegral domainMaximal idealUnique factorization domainLocal ringDedekind domainSimple ringSimple lie algebraField of fractionsFinite ringDivision ringIdealRing of integersSemisimple lie algebraPrincipal idealFunctionEilenberg-maclane spaceIdeal numberFinite topological spaceIntegrally closed domainSingle-valued functionAlgebraic integerBoolean domainValuation ringTrivial topologySubfieldStrictly convex spacePrime ringZero divisorCentral simple algebraTorsion-free moduleMaximal independent setMonoidPrime idealAnnihilatorIdempotentPerfect setTotal ring of fractionsDiscrete categoryCommutative ringMatrix ringMonomialRegular local ringAlgebraic curveArtinian ringRational pointLocalizationPartition of a setResidue fieldAlgebraic subvarietyConvex bodyComplete boolean algebraIrreducible elementTotally disconnected spaceDivision algebraSimple algebraAlgebraic numberSupportMonomorphismFinite setFinite measureCommutative algebraZero morphismPartition of unitySimple groupInclusion functionMatrix fieldDiscrete valuationEuclidean domainFinitely generated moduleField of definitionInitial and terminal objectsZeroWell-orderingSemiringFinite groupGraded ringBoolean algebraNilradicalMatrix of onesAlgebraically closed fieldReduced ringGcd domainMultilinear formSyntactic monoidIsolated singularityPerfect fieldAlternative algebraAlgebraic closurePrimary idealRight idealSquare-free integerFirst-countable spaceCongruenceDivisorParacompact spaceDimensionCyclic group