GAP (NumericalSgps) - Index

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### Index

`AddSpecialGapOfNumericalSemigroup` 5.1-2
`AdjacentCatenaryDegreeOfSetOfFactorizations` 9.3-2
`AdjustmentOfNumericalSemigroup` 9.2-11
`AffineSemigroup` 11.2-1
`AlmostSymmetricNumericalSemigroupsFromIrreducible` 6.3-1
`AlmostSymmetricNumericalSemigroupsWithFrobeniusNumber` 6.3-3
`AmbientNumericalSemigroupOfIdeal` 7.1-5
`AnIrreducibleNumericalSemigroupWithFrobeniusNumber` 6.1-4
`AperyListOfIdealOfNumericalSemigroupWRTElement` 7.2-8
`AperyListOfNumericalSemigroup` 3.1-7
`AperyListOfNumericalSemigroupAsGraph` 3.1-9
`AperyListOfNumericalSemigroupWRTElement` 3.1-6
`AperyListOfNumericalSemigroupWRTInteger` 3.1-8
`AperyTableOfNumericalSemigroup` 7.2-9
`ArfNumericalSemigroupClosure` 8.2-2
`ArfNumericalSemigroupsWithFrobeniusNumber` 8.2-4
`AsAffineSemigroup` 11.2-2
`AsGluingOfNumericalSemigroups` 6.2-1
`BasisOfGroupGivenByEquations` 11.2-9
`BelongsToAffineSemigroup` 11.2-4
`BelongsToHomogenizationOfNumericalSemigroup` 9.5-1
`BelongsToIdealOfNumericalSemigroup` 7.1-7
`BelongsToNumericalSemigroup` 2.2-6
`BettiElementsOfAffineSemigroup` 11.4-3
`BettiElementsOfNumericalSemigroup` 4.1-3
`BezoutSequence` A.1-1
`BlowUpIdealOfNumericalSemigroup` 7.2-2
`BlowUpOfNumericalSemigroup` 7.2-4
`CanonicalIdealOfNumericalSemigroup` 7.1-15
`CatenaryDegreeOfAffineSemigroup` 11.5-3
`CatenaryDegreeOfElementInNumericalSemigroup` 9.3-5
`CatenaryDegreeOfNumericalSemigroup` 9.3-7
`CatenaryDegreeOfSetOfFactorizations` 9.3-1
`CeilingOfRational` A.1-3
`CompleteIntersectionNumericalSemigroupsWithFrobeniusNumber` 6.2-3
`ConductorOfNumericalSemigroup` 3.2-3
`CurveAssociatedToDeltaSequence` 10.2-4
`DecomposeIntoIrreducibles` 6.1-6
`DeltaSequencesWithFrobeniusNumber` 10.2-3
`DeltaSetListUpToElementWRTNumericalSemigroup` C.2-5
`DeltaSetOfFactorizationsElementWRTNumericalSemigroup` 9.2-6
`DeltaSetOfNumericalSemigroup` C.2-7
`DeltaSetOfSetOfIntegers` 9.2-5
`DeltaSetPeriodicityBoundForNumericalSemigroup` C.2-3
`DeltaSetPeriodicityStartForNumericalSemigroup` C.2-4
`DeltaSetUnionUpToElementWRTNumericalSemigroup` C.2-6
`DenumerantOfElementInNumericalSemigroup` 9.1-5
`DifferenceOfIdealsOfNumericalSemigroup` 7.1-11
`ElasticityOfAffineSemigroup` 11.5-2
`ElasticityOfFactorizationsElementWRTNumericalSemigroup` 9.2-3
`ElasticityOfNumericalSemigroup` 9.2-4
`EmbeddingDimensionOfNumericalSemigroup` 3.1-3
`EqualCatenaryDegreeOfAffineSemigroup` 11.5-4
`EqualCatenaryDegreeOfNumericalSemigroup` 9.3-9
`EqualCatenaryDegreeOfSetOfFactorizations` 9.3-3
`EqualPrimitiveElementsOfNumericalSemigroup` 9.3-8
`EquationsOfGroupGeneratedBy` 11.2-8
`FactorizationsElementListWRTNumericalSemigroup` C.2-2
`FactorizationsElementWRTNumericalSemigroup` 9.1-2
`FactorizationsInHomogenizationOfNumericalSemigroup` 9.5-2
`FactorizationsIntegerWRTList` 9.1-1
`FactorizationsVectorWRTList` 11.5-1
`FirstElementsOfNumericalSemigroup` 3.1-5
`ForcedIntegersForPseudoFrobenius` 5.6-1
`FreeNumericalSemigroupsWithFrobeniusNumber` 6.2-5
`FrobeniusNumber` 3.2-2
`FrobeniusNumberOfNumericalSemigroup` 3.2-1
`FundamentalGapsOfNumericalSemigroup` 3.3-3
`GapsOfNumericalSemigroup` 3.3-1
`GeneratorsOfIdealOfNumericalSemigroup` 7.1-4
`GeneratorsOfIdealOfNumericalSemigroupNC` 7.1-4
`GeneratorsOfKernelCongruence` 11.4-1
`GeneratorsOfNumericalSemigroup` 3.1-2
`GenusOfNumericalSemigroup` 3.3-2
`GluingOfAffineSemigroups` 11.3-1
`GraeffePolynomial` 10.1-3
`GraphAssociatedToElementInNumericalSemigroup` 4.1-2
`HilbertBasisOfSystemOfHomogeneousEquations` 11.2-6
`HilbertBasisOfSystemOfHomogeneousInequalities` 11.2-7
`HilbertFunctionOfIdealOfNumericalSemigroup` 7.2-1
`HilbertSeriesOfNumericalSemigroup` 10.1-2
`HomogeneousBettiElementsOfNumericalSemigroup` 9.5-3
`HomogeneousCatenaryDegreeOfAffineSemigroup` 11.5-5
`HomogeneousCatenaryDegreeOfNumericalSemigroup` 9.5-4
`IdealOfNumericalSemigroup` 7.1-1
`IntersectionIdealsOfNumericalSemigroup` 7.1-13
`IntersectionOfNumericalSemigroups` 5.2-1
`IrreducibleNumericalSemigroupsWithFrobeniusNumber` 6.1-5
`IsACompleteIntersectionNumericalSemigroup` 6.2-2
`IsAdditiveNumericalSemigroup` 9.2-12
`IsAffineSemigroup` 11.2-3
`IsAffineSemigroupByEquations` 11.2-3
`IsAffineSemigroupByGenerators` 11.2-3
`IsAffineSemigroupByInequalities` 11.2-3
`IsAffineSemigroupByMinimalGenerators` 11.2-3
`IsAlmostSymmetricNumericalSemigroup` 6.3-2
`IsAperyListOfNumericalSemigroup` 2.2-4
`IsAperySetAlphaRectangular` C.1-8
`IsAperySetBetaRectangular` C.1-7
`IsAperySetGammaRectangular` C.1-6
`IsArfNumericalSemigroup` 8.2-1
`IsBezoutSequence` A.1-2
`IsCyclotomicNumericalSemigroup` 10.1-6
`IsCyclotomicPolynomial` 10.1-4
`IsDeltaSequence` 10.2-2
`IsFreeNumericalSemigroup` 6.2-4
`IsFullAffineSemigroup` 11.2-5
`IsGenericAffineSemigroup` 11.4-5
`IsGenericNumericalSemigroup` 4.2-2
`IsGradedAssociatedRingNumericalSemigroupBuchsbaum` C.1-1
`IsGradedAssociatedRingNumericalSemigroupCI` C.1-5
`IsGradedAssociatedRingNumericalSemigroupCM` 7.2-6
`IsGradedAssociatedRingNumericalSemigroupGorenstein` C.1-4
`IsIdealOfNumericalSemigroup` 7.1-2
`IsIrreducibleNumericalSemigroup` 6.1-1
`IsKroneckerPolynomial` 10.1-5
`IsListOfIntegersNS` A.2-2
`IsMEDNumericalSemigroup` 8.1-1
`IsModularNumericalSemigroup` 2.2-1
`IsMonomialNumericalSemigroup` 7.2-7
`IsMpureNumericalSemigroup` C.1-2
`IsNumericalSemigroup` 2.2-1
`IsNumericalSemigroupAssociatedIrreduciblePlanarCurveSingularity` 6.2-8
`IsNumericalSemigroupByAperyList` 2.2-1
`IsNumericalSemigroupByFundamentalGaps` 2.2-1
`IsNumericalSemigroupByGaps` 2.2-1
`IsNumericalSemigroupByGenerators` 2.2-1
`IsNumericalSemigroupByInterval` 2.2-1
`IsNumericalSemigroupByMinimalGenerators` 2.2-1
`IsNumericalSemigroupByOpenInterval` 2.2-1
`IsNumericalSemigroupBySmallElements` 2.2-1
`IsNumericalSemigroupBySubAdditiveFunction` 2.2-1
`IsProportionallyModularNumericalSemigroup` 2.2-1
`IsPseudoSymmetricNumericalSemigroup` 6.1-3
`IsPureNumericalSemigroup` C.1-3
`IsSaturatedNumericalSemigroup` 8.3-1
`IsSelfReciprocalUnivariatePolynomial` 10.1-7
`IsSubsemigroupOfNumericalSemigroup` 2.2-5
`IsSuperSymmetricNumericalSemigroup` 9.2-13
`IsSymmetricNumericalSemigroup` 6.1-2
`IsTelescopicNumericalSemigroup` 6.2-6
`IsUniquelyPresentedAffineSemigroup` 11.4-6
`IsUniquelyPresentedNumericalSemigroup` 4.2-1
`KunzCoordinatesOfNumericalSemigroup` 3.1-10
`KunzPolytope` 3.1-11
`LengthsOfFactorizationsElementWRTNumericalSemigroup` 9.2-2
`LengthsOfFactorizationsIntegerWRTList` 9.2-1
`LShapesOfNumericalSemigroup` 9.1-4
`MaximalDenumerantOfElementInNumericalSemigroup` 9.2-8
`MaximalDenumerantOfNumericalSemigroup` 9.2-10
`MaximalDenumerantOfSetOfFactorizations` 9.2-9
`MaximalIdealOfNumericalSemigroup` 7.1-14
`MaximumDegreeOfElementWRTNumericalSemigroup` 9.2-7
`MEDNumericalSemigroupClosure` 8.1-2
`MicroInvariantsOfNumericalSemigroup` 7.2-5
`MinimalArfGeneratingSystemOfArfNumericalSemigroup` 8.2-3
`MinimalGeneratingSystem` 3.1-2
`MinimalGeneratingSystem` 7.1-3
`MinimalGeneratingSystemOfIdealOfNumericalSemigroup` 7.1-3
`MinimalGeneratingSystemOfNumericalSemigroup` 3.1-2
`MinimalMEDGeneratingSystemOfMEDNumericalSemigroup` 8.1-3
`MinimalPresentationOfAffineSemigroup` 11.4-2
`MinimalPresentationOfNumericalSemigroup` 4.1-1
`ModularNumericalSemigroup` 2.1-2
`MoebiusFunctionAssociatedToNumericalSemigroup` 9.6-1
`MonotoneCatenaryDegreeOfAffineSemigroup` 11.5-6
`MonotoneCatenaryDegreeOfNumericalSemigroup` 9.3-11
`MonotoneCatenaryDegreeOfSetOfFactorizations` 9.3-4
`MonotonePrimitiveElementsOfNumericalSemigroup` 9.3-10
`MultipleOfIdealOfNumericalSemigroup` 7.1-9
`MultiplicityOfNumericalSemigroup` 3.1-1
`NumericalSemigroup` 2.1-1
`NumericalSemigroupByAperyList` 2.1-4
`NumericalSemigroupByFundamentalGaps` 2.1-4
`NumericalSemigroupByGaps` 2.1-4
`NumericalSemigroupByGenerators` 2.1-4
`NumericalSemigroupByInterval` 2.1-4
`NumericalSemigroupByMinimalGenerators` 2.1-4
`NumericalSemigroupByMinimalGeneratorsNC` 2.1-4
`NumericalSemigroupByOpenInterval` 2.1-4
`NumericalSemigroupBySmallElements` 2.1-4
`NumericalSemigroupBySubAdditiveFunction` 2.1-4
`NumericalSemigroupPolynomial` 10.1-1
`NumericalSemigroupsAssociatedIrreduciblePlanarCurveSingularityWithFrobeniusNumber` 6.2-9
`NumericalSemigroupsWithFrobeniusNumber` 5.4-1
`NumericalSemigroupsWithGenus` 5.5-1
`NumericalSemigroupsWithPseudoFrobeniusNumbers` 5.6-3
`NumSgpsUse4ti2` 11.1-1
`NumSgpsUse4ti2gap` 11.1-2
`NumSgpsUseNormalize` 11.1-3
`NumSgpsUseSingular` 11.1-4
`NumSgpsUseSingularGradedModules` 11.1-6
`NumSgpsUseSingularInterface` 11.1-5
`OmegaPrimalityOfAffineSemigroup` 11.5-9
`OmegaPrimalityOfElementInAffineSemigroup` 11.5-8
`OmegaPrimalityOfElementInNumericalSemigroup` 9.4-1
`OmegaPrimalityOfElementListInNumericalSemigroup` C.2-1
`OmegaPrimalityOfNumericalSemigroup` 9.4-2
`OverSemigroupsNumericalSemigroup` 5.3-1
`PrimitiveElementsOfAffineSemigroup` 11.4-7
`PrimitiveElementsOfNumericalSemigroup` 4.1-4
`ProportionallyModularNumericalSemigroup` 2.1-3
`PseudoFrobeniusOfNumericalSemigroup` 3.2-4
`QuotientOfNumericalSemigroup` 5.2-2
`RandomListForNS` B.1-2
`RandomListRepresentingSubAdditiveFunction` B.1-5
`RandomModularNumericalSemigroup` B.1-3
`RandomNumericalSemigroup` B.1-1
`RandomNumericalSemigroupWithPseudoFrobeniusNumbers` 5.6-4
`RandomProportionallyModularNumericalSemigroup` B.1-4
`RClassesOfSetOfFactorizations` 9.1-3
`ReductionNumberIdealNumericalSemigroup` 7.2-3
`RemoveMinimalGeneratorFromNumericalSemigroup` 5.1-1
`RepresentsGapsOfNumericalSemigroup` 2.2-3
`RepresentsPeriodicSubAdditiveFunction` A.2-1
`RepresentsSmallElementsOfNumericalSemigroup` 2.2-2
`SaturatedNumericalSemigroupClosure` 8.3-2
`SaturatedNumericalSemigroupsWithFrobeniusNumber` 8.3-3
`SemigroupOfValuesOfCurve_Global` 10.2-6
`SemigroupOfValuesOfCurve_Local` 10.2-5
`SemigroupOfValuesOfPlaneCurveWithSinglePlaceAtInfinity` 10.2-1
`ShadedSetOfElementInAffineSemigroup` 11.4-4
`ShadedSetOfElementInNumericalSemigroup` 4.1-5
`SimpleForcedIntegersForPseudoFrobenius` 5.6-2
`SmallElements` 3.1-4
`SmallElements` 7.1-6
`SmallElementsOfIdealOfNumericalSemigroup` 7.1-6
`SmallElementsOfNumericalSemigroup` 3.1-4
`SpecialGapsOfNumericalSemigroup` 3.3-4
`StarClosureOfIdealOfNumericalSemigroup` 7.2-10
`SubtractIdealsOfNumericalSemigroup` 7.1-10
`SumIdealsOfNumericalSemigroup` 7.1-8
`TameDegreeOfAffineSemigroup` 11.5-7
`TameDegreeOfElementInNumericalSemigroup` 9.3-13
`TameDegreeOfNumericalSemigroup` 9.3-12
`TameDegreeOfSetOfFactorizations` 9.3-6
`TelescopicNumericalSemigroupsWithFrobeniusNumber` 6.2-7
`TranslationOfIdealOfNumericalSemigroup` 7.1-12
`TypeOfNumericalSemigroup` 3.2-5
`TypeSequenceOfNumericalSemigroup` C.1-9

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