* (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 7.3-2ApsisMonoid 2.5-9AsBipartition 5.3-1AsBipartitionSemigroup 2.4-1AsBlockBijection 5.3-2AsBlockBijectionSemigroup 2.4-1AsLookupTable 8.2-5AsMatrix, for a matrix over finite field 7.2-11AsMatrixGroup 7.3-4AsMatrixSemigroup 2.4-1AsPartialPerm, for a bipartition 5.3-4AsPartialPermSemigroup 2.4-1AsPermutation, for a bipartition 5.3-5AsRMSCongruenceByLinkedTriple 8.3-7AsRZMSCongruenceByLinkedTriple 8.3-7AsSemigroupCongruenceByGeneratingPairs 8.3-6AsTransformation, for a bipartition 5.3-3AsTransformationSemigroup 2.4-1BaseDomain, for a matrix over finite field 7.2-9Bipartition 5.2-1BipartitionByIntRep 5.2-2BipartitionFamily 5.1-3BlocksNC 5.6-1BrauerMonoid 2.5-4CanonicalForm, for a free inverse semigroup element 6.3-1CanonicalRepresentative 8.3-5CharacterTableOfInverseSemigroup 4.7-16ClosureInverseSemigroup 2.2-1ClosureSemigroup 2.2-2ComponentRepsOfPartialPermSemigroup 4.5-19ComponentRepsOfTransformationSemigroup 4.5-15ComponentsOfPartialPermSemigroup 4.5-20ComponentsOfTransformationSemigroup 4.5-16CongruenceClasses 8.2-2CongruenceClassOfElement 8.2-1CongruencesOfSemigroup 8.2-4ConstructingFilter, for a matrix over finite field 7.2-12CrossedApsisMonoid 2.5-9CyclesOfPartialPerm 4.5-21CyclesOfPartialPermSemigroup 4.5-22CyclesOfTransformationSemigroup 4.5-17DClass 4.2-2DClasses 4.3-1DClassNC 4.2-3DClassOfHClass 4.2-1DClassOfLClass 4.2-1DClassOfRClass 4.2-1DClassReps 4.3-4DegreeOfBipartition 5.5-1DegreeOfBipartitionCollection 5.5-1DegreeOfBipartitionSemigroup 5.9-5DegreeOfBlocks 5.6-4DegreeOfMatrixOverFiniteField, for a matrix over finite field 7.2-8DotDClasses 4.8-2DotDClasses, for a semigroup 4.8-2DotSemilatticeOfIdempotents 4.8-3DualSymmetricInverseMonoid 2.5-7DualSymmetricInverseSemigroup 2.5-7EndomorphismsPartition 2.5-1EnumeratePosition 10.1-1EvaluateWord 4.1-1ExtRepOfBipartition 5.5-3ExtRepOfBlocks 5.6-2FactorisableDualSymmetricInverseSemigroup 2.5-8Factorization 4.1-2FreeBand, for a given rank 6.4-1FreeBand, for a list of names 6.4-1FreeBand, for various names 6.4-1FreeInverseSemigroup, for a given rank 6.1-1FreeInverseSemigroup, for a list of names 6.1-1FreeInverseSemigroup, for various names 6.1-1FullMatrixSemigroup 2.5-11GeneralLinearSemigroup 2.5-11Generators 4.5-1GeneratorsOfSemigroupIdeal 3.2-1GeneratorsSmallest, for a transformation
semigroup 4.5-25GLS 2.5-11GreensDClasses 4.3-1GreensDClassOfElement 4.2-2GreensDClassOfElement, for a free band and a free band element 6.5-1GreensDClassOfElementNC 4.2-3GreensHClasses 4.3-1GreensHClassOfElement 4.2-2GreensHClassOfElement, for a Rees matrix semigroup 4.2-2GreensHClassOfElementNC 4.2-3GreensJClasses 4.3-1GreensLClasses 4.3-1GreensLClassOfElement 4.2-2GreensLClassOfElementNC 4.2-3GreensRClasses 4.3-1GreensRClassOfElement 4.2-2GreensRClassOfElementNC 4.2-3GroupHClass 4.2-4GroupOfUnits 4.5-2HClass 4.2-2HClass, for a Rees matrix semigroup 4.2-2HClasses 4.3-1HClassNC 4.2-3HClassReps 4.3-4IdempotentGeneratedSubsemigroup 4.5-5Idempotents 4.5-3IdentityBipartition 5.2-3InfoSemigroups 1.5-1InjectionPrincipalFactor 4.4-2InverseLeftBlocks 5.7-5InverseRightBlocks 5.7-4InverseSubsemigroupByProperty 2.2-4IrredundantGeneratingSubset 4.5-6IsAperiodicSemigroup 4.6-16IsBand 4.6-1IsBipartition 5.1-1IsBipartitionCollection 5.1-2IsBipartitionMonoid 5.9-1IsBipartitionSemigroup 5.9-1IsBipartitionSemigroupGreensClass 4.4-16IsBlockBijection 5.5-13IsBlockBijectionMonoid 5.9-2IsBlockBijectionSemigroup 5.9-2IsBlockGroup 4.6-2IsBrandtSemigroup 4.7-2IsCliffordSemigroup 4.7-1IsCombinatorialSemigroup 4.6-16IsCommutativeSemigroup 4.6-3IsCompletelyRegularSemigroup 4.6-4IsCompletelySimpleSemigroup 4.6-19IsCongruenceFreeSemigroup 4.6-5IsDTrivial 4.6-16IsDualTransBipartition 5.5-10IsEUnitaryInverseSemigroup 4.7-3IsFactorisableSemigroup 4.7-4IsFreeBand, for a given semigroup 6.4-3IsFreeBandCategory 6.4-2IsFreeBandElement 6.4-4IsFreeBandSubsemigroup 6.4-5IsFreeInverseSemigroup 6.1-3IsFreeInverseSemigroupCategory 6.1-2IsFreeInverseSemigroupElement 6.1-4IsGreensClassNC 4.4-14IsGreensDLeq 4.4-20IsGroupAsSemigroup 4.6-6IsHTrivial 4.6-16IsIdempotentGenerated 4.6-7IsIsomorphicSemigroup 9.1-1IsJoinIrreducible 4.7-5IsLeftSimple 4.6-8IsLeftZeroSemigroup 4.6-9IsLinkedTriple 8.3-4IsLTrivial 4.6-16IsMajorantlyClosed 4.7-6IsMatrixMonoid 7.1-1IsMatrixOverFiniteField 7.2-1IsMatrixOverFiniteFieldCollection 7.2-2IsMatrixOverFiniteFieldGroup 7.3-1IsMatrixSemigroup 7.1-1IsMatrixSemigroupGreensClass 4.4-18IsMaximalSubsemigroup 4.5-9IsMonogenicInverseSemigroup 4.7-7IsMonogenicSemigroup 4.6-10IsMonoidAsSemigroup 4.6-11IsomorphismBipartitionMonoid 2.4-3IsomorphismBipartitionSemigroup 2.4-3IsomorphismBlockBijectionMonoid 2.4-4IsomorphismBlockBijectionSemigroup 2.4-4IsomorphismMatrixGroup 7.3-3IsomorphismMatrixSemigroup 2.4-5IsomorphismPermGroup 2.4-2IsomorphismReesMatrixSemigroup 4.4-2IsomorphismSemigroups 9.1-3IsOrthodoxSemigroup 4.6-12IsPartialPermBipartition 5.5-12IsPartialPermBipartitionMonoid 5.9-3IsPartialPermBipartitionSemigroup 5.9-3IsPartialPermSemigroupGreensClass 4.4-17IsPermBipartition 5.5-11IsPermBipartitionGroup 5.9-4IsRectangularBand 4.6-13IsRegularClass 4.4-4IsRegularSemigroup 4.6-14IsRightSimple 4.6-8IsRightZeroSemigroup 4.6-15IsRMSCongruenceByLinkedTriple 8.3-1IsRTrivial 4.6-16IsRZMSCongruenceByLinkedTriple 8.3-1IsSemiBand 4.6-7IsSemigroupWithAdjoinedZero 4.6-17IsSemigroupWithCommutingIdempotents 4.6-2IsSemilattice 4.6-18IsSimpleSemigroup 4.6-19IsSynchronizingSemigroup 4.6-20IsSynchronizingTransformationCollection 4.6-20IsTransBipartition 5.5-9IsTransformationSemigroupGreensClass 4.4-15IsTransitive, for a transformation
semigroup and a pos int 4.5-18IsTransitive, for a transformation
semigroup and a set 4.5-18IsUniformBlockBijection 5.5-14IsUniversalSemigroupCongruence 8.4-1IsZeroGroup 4.6-21IsZeroRectangularBand 4.6-22IsZeroSemigroup 4.6-23IsZeroSimpleSemigroup 4.6-24IteratorFromGeneratorsFile 1.6-4IteratorOfDClasses 4.3-3IteratorOfDClassReps 4.3-2IteratorOfHClasses 4.3-3IteratorOfHClassReps 4.3-2IteratorOfLClasses 4.3-3IteratorOfLClassReps 4.3-2IteratorOfRClasses 4.3-3IteratorOfRClassReps 4.3-2JClasses 4.3-1JoinIrreducibleDClasses 4.7-8JoinSemigroupCongruences 8.3-9JonesMonoid 2.5-5LargestElementSemigroup 4.5-24LClass 4.2-2LClasses 4.3-1LClassNC 4.2-3LClassOfHClass 4.2-1LClassReps 4.3-4LeftBlocks 5.5-5LeftInverse, for a matrix over finite field 7.2-7LeftOne, for a bipartition 5.2-4LeftProjection 5.2-4LeftZeroSemigroup 2.5-20LookForInOrb 10.1-2MajorantClosure 4.7-9MatrixSemigroup 7.1-2MaximalDClasses 4.4-10MaximalSubsemigroups, for a Rees (0-)matrix semigroup, and a group 4.5-8MaximalSubsemigroups, for an acting semigroup 4.5-7MeetSemigroupCongruences 8.3-8MinimalDClass 4.4-9MinimalIdeal 4.5-10MinimalIdealGeneratingSet 3.2-2MinimalWord, for free inverse semigroup element 6.3-2Minorants 4.7-10ModularPartitionMonoid 2.5-10MonogenicSemigroup 2.5-17MultiplicativeNeutralElement, for an H-class 4.4-13MultiplicativeZero 4.5-12MunnSemigroup 2.5-13NaturalLeqBlockBijection 5.4-3NaturalLeqPartialPermBipartition 5.4-2NewIdentityMatrixOverFiniteField 7.2-4NewMatrixOverFiniteField, for a filter, a field, an integer, and a list 7.2-3NewZeroMatrixOverFiniteField 7.2-4Normalizer, for a perm group, semigroup, record 4.5-23Normalizer, for a semigroup, record 4.5-23NrBlocks, for a bipartition 5.5-8NrBlocks, for blocks 5.5-8NrCongruenceClasses 8.2-3NrDClasses 4.4-6NrHClasses 4.4-6NrIdempotents 4.5-4NrLClasses 4.4-6NrLeftBlocks 5.5-6NrRClasses 4.4-6NrRegularDClasses 4.4-5NrRightBlocks 5.5-7NrTransverseBlocks, for a bipartition 5.5-2NrTransverseBlocks, for blocks 5.6-3OnLeftBlocks 5.7-2OnRightBlocks 5.7-1OnRightBlocksBipartitionByPerm 5.4-5OrbSCC 10.2-1OrbSCCLookup 10.2-2OrbSCCTruthTable 10.2-3OrderEndomorphisms, monoid of order preserving transformations 2.5-14PartialOrderOfDClasses 4.4-7PartialPermLeqBipartition 5.4-1PartialTransformationSemigroup 2.5-6PartitionMonoid 2.5-2PermLeftBlocks 5.7-3PermLeftQuoBipartition 5.4-4PermRightBlocks 5.7-3PlanarModularPartitionMonoid 2.5-10PlanarPartitionMonoid 2.5-3PlanarUniformBlockBijectionMonoid 2.5-8POI, monoid of order preserving partial perms 2.5-14POPI, monoid of orientation preserving partial
perms 2.5-14PrimitiveIdempotents 4.7-11PrincipalFactor 4.4-3Random, for a semigroup 4.5-13RandomBinaryRelationMonoid 2.1-4RandomBinaryRelationSemigroup 2.1-4RandomBipartition 5.2-7RandomBipartitionMonoid 2.1-5RandomBipartitionSemigroup 2.1-5RandomInverseMonoid 2.1-1RandomInverseSemigroup 2.1-1RandomMatrixMonoid 2.1-6RandomMatrixSemigroup 2.1-6RandomPartialPermMonoid 2.1-3RandomPartialPermSemigroup 2.1-3RandomTransformationMonoid 2.1-2RandomTransformationSemigroup 2.1-2RankOfBipartition 5.5-2RankOfBlocks 5.6-3RClass 4.2-2RClasses 4.3-1RClassNC 4.2-3RClassOfHClass 4.2-1RClassReps 4.3-4ReadGenerators 1.6-2RectangularBand 2.5-18RegularBinaryRelationSemigroup 2.5-16RegularDClasses 4.4-5RepresentativeOfMinimalDClass 4.5-11RepresentativeOfMinimalIdeal 4.5-11ReverseSchreierTreeOfSCC 10.2-4RightBlocks 5.5-4RightCosetsOfInverseSemigroup 4.7-12RightInverse, for a matrix over finite field 7.2-7RightOne, for a bipartition 5.2-5RightProjection 5.2-5RightZeroSemigroup 2.5-20RMSCongruenceByLinkedTriple 8.3-2RMSCongruenceClassByLinkedTriple 8.3-3RowRank, for a matrix over finite field 7.2-6RowSpaceBasis, for a matrix over finite field 7.2-5RowSpaceTransformation, for a matrix over finite field 7.2-5RowSpaceTransformationInv, for a matrix over finite field 7.2-5RZMSCongruenceByLinkedTriple 8.3-2RZMSCongruenceClassByLinkedTriple 8.3-3SameMinorantsSubgroup 4.7-13SchreierTreeOfSCC 10.2-5SchutzenbergerGroup 4.4-8SemigroupCongruence 8.1-1SemigroupIdeal 3.1-1SemigroupsDir 1.6-1SemigroupsMakeDoc 1.3-1SemigroupsOptionsRec 2.3-1SemigroupsTestAll 1.4-3SemigroupsTestInstall 1.4-1SemigroupsTestManualExamples 1.4-2SingularApsisMonoid 2.5-9SingularBrauerMonoid 2.5-4SingularCrossedApsisMonoid 2.5-9SingularDualSymmetricInverseSemigroup 2.5-7SingularFactorisableDualSymmetricInverseSemigroup 2.5-8SingularJonesMonoid 2.5-5SingularModularPartitionMonoid 2.5-10SingularPartitionMonoid 2.5-2SingularPlanarModularPartitionMonoid 2.5-10SingularPlanarPartitionMonoid 2.5-3SingularPlanarUniformBlockBijectionMonoid 2.5-8SingularTransformationMonoid 2.5-15SingularTransformationSemigroup 2.5-15SingularUniformBlockBijectionMonoid 2.5-8SLS 2.5-12SmallerDegreePartialPermRepresentation 4.7-14SmallestElementSemigroup 4.5-24SmallestMultiplicationTable 9.1-2SmallGeneratingSet 4.5-14SmallInverseMonoidGeneratingSet 4.5-14SmallInverseSemigroupGeneratingSet 4.5-14SmallMonoidGeneratingSet 4.5-14SmallSemigroupGeneratingSet 4.5-14SpecialLinearSemigroup 2.5-12Splash 4.8-1Star 5.2-6StarOp 5.2-6StructureDescription, for an H-class 4.4-19StructureDescriptionMaximalSubgroups 4.4-12StructureDescriptionSchutzenbergerGroups 4.4-11SubsemigroupByProperty, for a semigroup and function 2.2-3SubsemigroupByProperty, for a semigroup, function, and limit on the size of the subsemigroup 2.2-3SupersemigroupOfIdeal 3.2-3TemperleyLiebMonoid 2.5-5TikzBipartition 5.8-1TikzBlocks 5.8-2TraceSchreierTreeOfSCCBack 10.2-6TraceSchreierTreeOfSCCForward 10.2-7TransposedMatImmutable, for a matrix over finite field 7.2-10UnderlyingSemigroupOfSemigroupWithAdjoinedZero 4.5-26UniformBlockBijectionMonoid 2.5-8UniversalSemigroupCongruence 8.4-2VagnerPrestonRepresentation 4.7-15WriteGenerators 1.6-3ZeroSemigroup 2.5-19
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