* (for bipartitions) 5.4 < (for bipartitions) 5.4 = (for bipartitions) 5.4 \<, for Green's classes 4.4-1 \^, for an matrix over finite field group and matrix over finite field 7.3-2 ApsisMonoid 2.5-9 AsBipartition 5.3-1 AsBipartitionSemigroup 2.4-1 AsBlockBijection 5.3-2 AsBlockBijectionSemigroup 2.4-1 AsLookupTable 8.2-5 AsMatrix, for a matrix over finite field 7.2-11 AsMatrixGroup 7.3-4 AsMatrixSemigroup 2.4-1 AsPartialPerm, for a bipartition 5.3-4 AsPartialPermSemigroup 2.4-1 AsPermutation, for a bipartition 5.3-5 AsRMSCongruenceByLinkedTriple 8.3-7 AsRZMSCongruenceByLinkedTriple 8.3-7 AsSemigroupCongruenceByGeneratingPairs 8.3-6 AsTransformation, for a bipartition 5.3-3 AsTransformationSemigroup 2.4-1 BaseDomain, for a matrix over finite field 7.2-9 Bipartition 5.2-1 BipartitionByIntRep 5.2-2 BipartitionFamily 5.1-3 BlocksNC 5.6-1 BrauerMonoid 2.5-4 CanonicalForm, for a free inverse semigroup element 6.3-1 CanonicalRepresentative 8.3-5 CharacterTableOfInverseSemigroup 4.7-16 ClosureInverseSemigroup 2.2-1 ClosureSemigroup 2.2-2 ComponentRepsOfPartialPermSemigroup 4.5-19 ComponentRepsOfTransformationSemigroup 4.5-15 ComponentsOfPartialPermSemigroup 4.5-20 ComponentsOfTransformationSemigroup 4.5-16 CongruenceClasses 8.2-2 CongruenceClassOfElement 8.2-1 CongruencesOfSemigroup 8.2-4 ConstructingFilter, for a matrix over finite field 7.2-12 CrossedApsisMonoid 2.5-9 CyclesOfPartialPerm 4.5-21 CyclesOfPartialPermSemigroup 4.5-22 CyclesOfTransformationSemigroup 4.5-17 DClass 4.2-2 DClasses 4.3-1 DClassNC 4.2-3 DClassOfHClass 4.2-1 DClassOfLClass 4.2-1 DClassOfRClass 4.2-1 DClassReps 4.3-4 DegreeOfBipartition 5.5-1 DegreeOfBipartitionCollection 5.5-1 DegreeOfBipartitionSemigroup 5.9-5 DegreeOfBlocks 5.6-4 DegreeOfMatrixOverFiniteField, for a matrix over finite field 7.2-8 DotDClasses 4.8-2 DotSemilatticeOfIdempotents 4.8-3 DualSymmetricInverseMonoid 2.5-7 DualSymmetricInverseSemigroup 2.5-7 EndomorphismsPartition 2.5-1 EnumeratePosition 10.1-1 EvaluateWord 4.1-1 ExtRepOfBipartition 5.5-3 ExtRepOfBlocks 5.6-2 FactorisableDualSymmetricInverseSemigroup 2.5-8 Factorization 4.1-2 FreeBand, for a given rank 6.4-1 FreeInverseSemigroup, for a given rank 6.1-1 FullMatrixSemigroup 2.5-11 GeneralLinearSemigroup 2.5-11 Generators 4.5-1 GeneratorsOfSemigroupIdeal 3.2-1 GeneratorsSmallest, for a transformation
semigroup 4.5-25 GLS 2.5-11 GreensDClasses 4.3-1 GreensDClassOfElement 4.2-2 GreensDClassOfElementNC 4.2-3 GreensHClasses 4.3-1 GreensHClassOfElement 4.2-2 GreensHClassOfElementNC 4.2-3 GreensJClasses 4.3-1 GreensLClasses 4.3-1 GreensLClassOfElement 4.2-2 GreensLClassOfElementNC 4.2-3 GreensRClasses 4.3-1 GreensRClassOfElement 4.2-2 GreensRClassOfElementNC 4.2-3 GroupHClass 4.2-4 GroupOfUnits 4.5-2 HClass 4.2-2 HClasses 4.3-1 HClassNC 4.2-3 HClassReps 4.3-4 IdempotentGeneratedSubsemigroup 4.5-5 Idempotents 4.5-3 IdentityBipartition 5.2-3 InfoSemigroups 1.5-1 InjectionPrincipalFactor 4.4-2 InverseLeftBlocks 5.7-5 InverseRightBlocks 5.7-4 InverseSubsemigroupByProperty 2.2-4 IrredundantGeneratingSubset 4.5-6 IsAperiodicSemigroup 4.6-16 IsBand 4.6-1 IsBipartition 5.1-1 IsBipartitionCollection 5.1-2 IsBipartitionMonoid 5.9-1 IsBipartitionSemigroup 5.9-1 IsBipartitionSemigroupGreensClass 4.4-16 IsBlockBijection 5.5-13 IsBlockBijectionMonoid 5.9-2 IsBlockBijectionSemigroup 5.9-2 IsBlockGroup 4.6-2 IsBrandtSemigroup 4.7-2 IsCliffordSemigroup 4.7-1 IsCombinatorialSemigroup 4.6-16 IsCommutativeSemigroup 4.6-3 IsCompletelyRegularSemigroup 4.6-4 IsCompletelySimpleSemigroup 4.6-19 IsCongruenceFreeSemigroup 4.6-5 IsDTrivial 4.6-16 IsDualTransBipartition 5.5-10 IsEUnitaryInverseSemigroup 4.7-3 IsFactorisableSemigroup 4.7-4 IsFreeBand, for a given semigroup 6.4-3 IsFreeBandCategory 6.4-2 IsFreeBandElement 6.4-4 IsFreeBandSubsemigroup 6.4-5 IsFreeInverseSemigroup 6.1-3 IsFreeInverseSemigroupCategory 6.1-2 IsFreeInverseSemigroupElement 6.1-4 IsGreensClassNC 4.4-14 IsGreensDLeq 4.4-20 IsGroupAsSemigroup 4.6-6 IsHTrivial 4.6-16 IsIdempotentGenerated 4.6-7 IsIsomorphicSemigroup 9.1-1 IsJoinIrreducible 4.7-5 IsLeftSimple 4.6-8 IsLeftZeroSemigroup 4.6-9 IsLinkedTriple 8.3-4 IsLTrivial 4.6-16 IsMajorantlyClosed 4.7-6 IsMatrixMonoid 7.1-1 IsMatrixOverFiniteField 7.2-1 IsMatrixOverFiniteFieldCollection 7.2-2 IsMatrixOverFiniteFieldGroup 7.3-1 IsMatrixSemigroup 7.1-1 IsMatrixSemigroupGreensClass 4.4-18 IsMaximalSubsemigroup 4.5-9 IsMonogenicInverseSemigroup 4.7-7 IsMonogenicSemigroup 4.6-10 IsMonoidAsSemigroup 4.6-11 IsomorphismBipartitionMonoid 2.4-3 IsomorphismBipartitionSemigroup 2.4-3 IsomorphismBlockBijectionMonoid 2.4-4 IsomorphismBlockBijectionSemigroup 2.4-4 IsomorphismMatrixGroup 7.3-3 IsomorphismMatrixSemigroup 2.4-5 IsomorphismPermGroup 2.4-2 IsomorphismReesMatrixSemigroup 4.4-2 IsomorphismSemigroups 9.1-3 IsOrthodoxSemigroup 4.6-12 IsPartialPermBipartition 5.5-12 IsPartialPermBipartitionMonoid 5.9-3 IsPartialPermBipartitionSemigroup 5.9-3 IsPartialPermSemigroupGreensClass 4.4-17 IsPermBipartition 5.5-11 IsPermBipartitionGroup 5.9-4 IsRectangularBand 4.6-13 IsRegularClass 4.4-4 IsRegularSemigroup 4.6-14 IsRightSimple 4.6-8 IsRightZeroSemigroup 4.6-15 IsRMSCongruenceByLinkedTriple 8.3-1 IsRTrivial 4.6-16 IsRZMSCongruenceByLinkedTriple 8.3-1 IsSemiBand 4.6-7 IsSemigroupWithAdjoinedZero 4.6-17 IsSemigroupWithCommutingIdempotents 4.6-2 IsSemilattice 4.6-18 IsSimpleSemigroup 4.6-19 IsSynchronizingSemigroup 4.6-20 IsSynchronizingTransformationCollection 4.6-20 IsTransBipartition 5.5-9 IsTransformationSemigroupGreensClass 4.4-15 IsTransitive, for a transformation
semigroup and a pos int 4.5-18 IsUniformBlockBijection 5.5-14 IsUniversalSemigroupCongruence 8.4-1 IsZeroGroup 4.6-21 IsZeroRectangularBand 4.6-22 IsZeroSemigroup 4.6-23 IsZeroSimpleSemigroup 4.6-24 IteratorFromGeneratorsFile 1.6-4 IteratorOfDClasses 4.3-3 IteratorOfDClassReps 4.3-2 IteratorOfHClasses 4.3-3 IteratorOfHClassReps 4.3-2 IteratorOfLClasses 4.3-3 IteratorOfLClassReps 4.3-2 IteratorOfRClasses 4.3-3 IteratorOfRClassReps 4.3-2 JClasses 4.3-1 JoinIrreducibleDClasses 4.7-8 JoinSemigroupCongruences 8.3-9 JonesMonoid 2.5-5 LargestElementSemigroup 4.5-24 LClass 4.2-2 LClasses 4.3-1 LClassNC 4.2-3 LClassOfHClass 4.2-1 LClassReps 4.3-4 LeftBlocks 5.5-5 LeftInverse, for a matrix over finite field 7.2-7 LeftOne, for a bipartition 5.2-4 LeftProjection 5.2-4 LeftZeroSemigroup 2.5-20 LookForInOrb 10.1-2 MajorantClosure 4.7-9 MatrixSemigroup 7.1-2 MaximalDClasses 4.4-10 MaximalSubsemigroups, for a Rees (0-)matrix semigroup, and a group 4.5-8 MeetSemigroupCongruences 8.3-8 MinimalDClass 4.4-9 MinimalIdeal 4.5-10 MinimalIdealGeneratingSet 3.2-2 MinimalWord, for free inverse semigroup element 6.3-2 Minorants 4.7-10 ModularPartitionMonoid 2.5-10 MonogenicSemigroup 2.5-17 MultiplicativeNeutralElement, for an H-class 4.4-13 MultiplicativeZero 4.5-12 MunnSemigroup 2.5-13 NaturalLeqBlockBijection 5.4-3 NaturalLeqPartialPermBipartition 5.4-2 NewIdentityMatrixOverFiniteField 7.2-4 NewMatrixOverFiniteField, for a filter, a field, an integer, and a list 7.2-3 NewZeroMatrixOverFiniteField 7.2-4 Normalizer, for a perm group, semigroup, record 4.5-23 NrBlocks, for a bipartition 5.5-8 NrCongruenceClasses 8.2-3 NrDClasses 4.4-6 NrHClasses 4.4-6 NrIdempotents 4.5-4 NrLClasses 4.4-6 NrLeftBlocks 5.5-6 NrRClasses 4.4-6 NrRegularDClasses 4.4-5 NrRightBlocks 5.5-7 NrTransverseBlocks, for a bipartition 5.5-2 OnLeftBlocks 5.7-2 OnRightBlocks 5.7-1 OnRightBlocksBipartitionByPerm 5.4-5 OrbSCC 10.2-1 OrbSCCLookup 10.2-2 OrbSCCTruthTable 10.2-3 OrderEndomorphisms, monoid of order preserving transformations 2.5-14 PartialOrderOfDClasses 4.4-7 PartialPermLeqBipartition 5.4-1 PartialTransformationSemigroup 2.5-6 PartitionMonoid 2.5-2 PermLeftBlocks 5.7-3 PermLeftQuoBipartition 5.4-4 PermRightBlocks 5.7-3 PlanarModularPartitionMonoid 2.5-10 PlanarPartitionMonoid 2.5-3 PlanarUniformBlockBijectionMonoid 2.5-8 POI, monoid of order preserving partial perms 2.5-14 POPI, monoid of orientation preserving partial
perms 2.5-14 PrimitiveIdempotents 4.7-11 PrincipalFactor 4.4-3 Random, for a semigroup 4.5-13 RandomBinaryRelationMonoid 2.1-4 RandomBinaryRelationSemigroup 2.1-4 RandomBipartition 5.2-7 RandomBipartitionMonoid 2.1-5 RandomBipartitionSemigroup 2.1-5 RandomInverseMonoid 2.1-1 RandomInverseSemigroup 2.1-1 RandomMatrixMonoid 2.1-6 RandomMatrixSemigroup 2.1-6 RandomPartialPermMonoid 2.1-3 RandomPartialPermSemigroup 2.1-3 RandomTransformationMonoid 2.1-2 RandomTransformationSemigroup 2.1-2 RankOfBipartition 5.5-2 RankOfBlocks 5.6-3 RClass 4.2-2 RClasses 4.3-1 RClassNC 4.2-3 RClassOfHClass 4.2-1 RClassReps 4.3-4 ReadGenerators 1.6-2 RectangularBand 2.5-18 RegularBinaryRelationSemigroup 2.5-16 RegularDClasses 4.4-5 RepresentativeOfMinimalDClass 4.5-11 RepresentativeOfMinimalIdeal 4.5-11 ReverseSchreierTreeOfSCC 10.2-4 RightBlocks 5.5-4 RightCosetsOfInverseSemigroup 4.7-12 RightInverse, for a matrix over finite field 7.2-7 RightOne, for a bipartition 5.2-5 RightProjection 5.2-5 RightZeroSemigroup 2.5-20 RMSCongruenceByLinkedTriple 8.3-2 RMSCongruenceClassByLinkedTriple 8.3-3 RowRank, for a matrix over finite field 7.2-6 RowSpaceBasis, for a matrix over finite field 7.2-5 RowSpaceTransformation, for a matrix over finite field 7.2-5 RowSpaceTransformationInv, for a matrix over finite field 7.2-5 RZMSCongruenceByLinkedTriple 8.3-2 RZMSCongruenceClassByLinkedTriple 8.3-3 SameMinorantsSubgroup 4.7-13 SchreierTreeOfSCC 10.2-5 SchutzenbergerGroup 4.4-8 SemigroupCongruence 8.1-1 SemigroupIdeal 3.1-1 SemigroupsDir 1.6-1 SemigroupsMakeDoc 1.3-1 SemigroupsOptionsRec 2.3-1 SemigroupsTestAll 1.4-3 SemigroupsTestInstall 1.4-1 SemigroupsTestManualExamples 1.4-2 SingularApsisMonoid 2.5-9 SingularBrauerMonoid 2.5-4 SingularCrossedApsisMonoid 2.5-9 SingularDualSymmetricInverseSemigroup 2.5-7 SingularFactorisableDualSymmetricInverseSemigroup 2.5-8 SingularJonesMonoid 2.5-5 SingularModularPartitionMonoid 2.5-10 SingularPartitionMonoid 2.5-2 SingularPlanarModularPartitionMonoid 2.5-10 SingularPlanarPartitionMonoid 2.5-3 SingularPlanarUniformBlockBijectionMonoid 2.5-8 SingularTransformationMonoid 2.5-15 SingularTransformationSemigroup 2.5-15 SingularUniformBlockBijectionMonoid 2.5-8 SLS 2.5-12 SmallerDegreePartialPermRepresentation 4.7-14 SmallestElementSemigroup 4.5-24 SmallestMultiplicationTable 9.1-2 SmallGeneratingSet 4.5-14 SmallInverseMonoidGeneratingSet 4.5-14 SmallInverseSemigroupGeneratingSet 4.5-14 SmallMonoidGeneratingSet 4.5-14 SmallSemigroupGeneratingSet 4.5-14 SpecialLinearSemigroup 2.5-12 Splash 4.8-1 Star 5.2-6 StarOp 5.2-6 StructureDescription, for an H-class 4.4-19 StructureDescriptionMaximalSubgroups 4.4-12 StructureDescriptionSchutzenbergerGroups 4.4-11 SubsemigroupByProperty, for a semigroup and function 2.2-3 SupersemigroupOfIdeal 3.2-3 TemperleyLiebMonoid 2.5-5 TikzBipartition 5.8-1 TikzBlocks 5.8-2 TraceSchreierTreeOfSCCBack 10.2-6 TraceSchreierTreeOfSCCForward 10.2-7 TransposedMatImmutable, for a matrix over finite field 7.2-10 UnderlyingSemigroupOfSemigroupWithAdjoinedZero 4.5-26 UniformBlockBijectionMonoid 2.5-8 UniversalSemigroupCongruence 8.4-2 VagnerPrestonRepresentation 4.7-15 WriteGenerators 1.6-3 ZeroSemigroup 2.5-19
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