Goto Chapter: Top 1 2 3 4 5 6 A B C D E F Bib Ind
Top of Book Previous Chapter

### Index

MatricesForHomalg .-2
`\*`, copy a matrix over a different ring 5.2-8
`\*`, copy a matrix over a different ring (right) 5.2-8
`\*`, for composable matrices 5.5-12
`\*`, for ring elements and matrices 5.5-9
`\+`, for matrices 5.5-10
`\-`, for matrices 5.5-11
`\/`, constructor for residue class rings 3.2-3
`\=`, for matrices 5.5-13
`AddMat`, ResidueClassRing D.2-13
`AddMat`, homalgTable entry B.1-13
`AreEqualMatrices`, ResidueClassRing D.3-1
`AreEqualMatrices`, homalgTable entry B.2-1
`BasisAlgorithmRespectsPrincipalIdeals` 3.3-48
`BasisOfColumnModule`, ResidueClassRing D.1-2
`BasisOfColumnModule`, for matrices 5.5-18
`BasisOfColumns`, for matrices 5.5-34
`BasisOfColumns`, for pairs of matrices 5.5-34
`BasisOfColumnsCoeff`, ResidueClassRing D.1-8
`BasisOfColumnsCoeff`, for matrices 5.5-30
`BasisOfRowModule`, ResidueClassRing D.1-1
`BasisOfRowModule`, for matrices 5.5-17
`BasisOfRows`, for matrices 5.5-33
`BasisOfRows`, for pairs of matrices 5.5-33
`BasisOfRowsCoeff`, ResidueClassRing D.1-7
`BasisOfRowsCoeff`, for matrices 5.5-29
`CanBeUsedToDecideZero` 6.3-1
`CertainColumns`, ResidueClassRing D.2-7
`CertainColumns`, for matrices 5.5-4
`CertainColumns`, homalgTable entry B.1-7
`CertainRows`, ResidueClassRing D.2-6
`CertainRows`, for matrices 5.5-3
`CertainRows`, homalgTable entry B.1-6
`CoefficientsRing` 3.4-18
`ColumnRankOfMatrix` 5.4-12
`Compose`, ResidueClassRing D.2-15
`Compose`, homalgTable entry B.1-15
`ConstructorForHomalgMatrices` 3.4-6
`ContainsAField` 3.3-1
`CoordinateRingOfGraph`, for ring maps 4.4-4
`DecideZero`, for matrices and relations 5.5-35
`DecideZeroColumns`, ResidueClassRing D.1-4
`DecideZeroColumns`, for pairs of matrices 5.5-20
`DecideZeroColumnsEffectively`, ResidueClassRing D.1-10
`DecideZeroColumnsEffectively`, for pairs of matrices 5.5-32
`DecideZeroRows`, ResidueClassRing D.1-3
`DecideZeroRows`, for pairs of matrices 5.5-19
`DecideZeroRowsEffectively`, ResidueClassRing D.1-9
`DecideZeroRowsEffectively`, for pairs of matrices 5.5-31
`DegreeOfMorphism`, for ring maps 4.4-3
`DegreesOfEntries` 5.4-10
`DegreesOfEntries`, homalgTable entry B.2-9
`Determinant`, ResidueClassRing D.2-19
`Determinant`, homalgTable entry B.1-19
`DeterminantMat` 5.4-3
`DiagMat`, ResidueClassRing D.2-10
`DiagMat`, for matrices 5.5-7
`DiagMat`, homalgTable entry B.1-10
`ElementaryRank` 3.4-24
`Eval`, for matrices created with AddMat C.4-13
`Eval`, for matrices created with CertainColumns C.4-7
`Eval`, for matrices created with CertainRows C.4-6
`Eval`, for matrices created with Compose C.4-15
`Eval`, for matrices created with DiagMat C.4-10
`Eval`, for matrices created with HomalgIdentityMatrix C.4-4
`Eval`, for matrices created with HomalgInitialIdentityMatrix C.4-2
`Eval`, for matrices created with HomalgInitialMatrix C.4-1
`Eval`, for matrices created with HomalgZeroMatrix C.4-3
`Eval`, for matrices created with Involution C.4-5
`Eval`, for matrices created with KroneckerMat C.4-11
`Eval`, for matrices created with LeftInverse C.4-16
`Eval`, for matrices created with MulMat C.4-12
`Eval`, for matrices created with RightInverse C.4-17
`Eval`, for matrices created with SubMat C.4-14
`Eval`, for matrices created with UnionOfColumns C.4-9
`Eval`, for matrices created with UnionOfRows C.4-8
`GeneralLinearRank` 3.4-23
`GenerateSameColumnModule`, for pairs of matrices 5.5-45
`GenerateSameRowModule`, for pairs of matrices 5.5-44
`GetColumnIndependentUnitPositions`, for matrices 5.5-14
`GetColumnIndependentUnitPositions`, homalgTable entry B.2-6
`GetRowIndependentUnitPositions`, for matrices 5.5-15
`GetRowIndependentUnitPositions`, homalgTable entry B.2-7
`GetUnitPosition`, for matrices 5.5-16
`GetUnitPosition`, homalgTable entry B.2-8
`GlobalDimension` 3.4-22
`HasInvariantBasisProperty` 3.3-18
`HasLeftInvariantBasisProperty` 3.3-19
`HasRightInvariantBasisProperty` 3.3-20
`HomalgDiagonalMatrix`, constructor for diagonal matrices 5.2-7
`HomalgFieldOfRationals`, constructor for the field of rationals 3.2-2
`HomalgIdentityMatrix`, constructor for identity matrices 5.2-4
`HomalgInitialIdentityMatrix`, constructor for initial quadratic matrices with ones on the diagonal 5.2-2
`HomalgInitialMatrix`, constructor for initial matrices filled with zeros 5.2-1
`HomalgMatrix`, constructor for matrices using a list 5.2-6
`HomalgMatrix`, constructor for matrices using a listlist 5.2-6
`HomalgMatrix`, constructor for matrices using a string of a list 5.2-6
`HomalgMatrix`, constructor for matrices using a string of a listlist 5.2-6
`homalgMode` E.2-1
`HomalgRing`, for matrices 5.5-1
`HomalgRingOfIntegers`, constructor for the integers 3.2-1
`HomalgRingOfIntegers`, constructor for the residue class rings of the integers 3.2-1
`homalgTable` 3.4-3
`HomalgVoidMatrix`, constructor for void matrices 5.2-5
`HomalgZeroMatrix`, constructor for zero matrices 5.2-3
`IdentityMatrix`, ResidueClassRing D.2-4
`IdentityMatrix`, homalgTable entry B.1-4
`IndeterminateAntiCommutingVariablesOfExteriorRing` 3.4-14
`IndeterminateCoordinatesOfRingOfDerivations` 3.4-12
`IndeterminateDerivationsOfRingOfDerivations` 3.4-13
`IndeterminatesOfExteriorRing` 3.4-15
`IndeterminatesOfPolynomialRing` 3.4-11
`InitialIdentityMatrix`, ResidueClassRing D.2-2
`InitialIdentityMatrix`, homalgTable entry for initial identity matrices B.1-2
`InitialMatrix`, ResidueClassRing D.2-1
`InitialMatrix`, homalgTable entry for initial matrices B.1-1
`Involution`, ResidueClassRing D.2-5
`Involution`, for matrices 5.5-2
`Involution`, homalgTable entry B.1-5
`IsArtinian`, for rings 3.3-33
`IsAutomorphism`, for ring maps 4.3-6
`IsBasisOfColumnsMatrix` 5.3-22
`IsBasisOfRowsMatrix` 5.3-21
`IsBezoutRing` 3.3-7
`IsDedekindDomain` 3.3-11
`IsDiagonalMatrix` 5.3-12
`IsDiagonalMatrix`, ResidueClassRing D.3-3
`IsDiagonalMatrix`, homalgTable entry B.2-3
`IsDiscreteValuationRing` 3.3-12
`IsDivisionRingForHomalg` 3.3-4
`IsEmptyMatrix` 5.3-11
`IsEpimorphism`, for ring maps 4.3-4
`IsFieldForHomalg` 3.3-3
`IsFiniteFreePresentationRing` 3.3-43
`IsFreePolynomialRing` 3.3-13
`IsGlobalDimensionFinite` 3.3-15
`IsHereditary` 3.3-24
`IsHermite` 3.3-27
`IsHomalgInternalMatrixRep` 5.1-2
`IsHomalgInternalRingRep` 3.1-4
`IsHomalgMatrix` 5.1-1
`IsHomalgRing` 3.1-1
`IsHomalgRingElement` 3.1-3
`IsHomalgRingMap` 4.1-1
`IsHomalgRingMapRep` 4.1-3
`IsHomalgRingRelations` 6.1-1
`IsHomalgRingRelationsAsGeneratorsOfLeftIdeal` 6.1-2
`IsHomalgRingRelationsAsGeneratorsOfRightIdeal` 6.1-3
`IsHomalgRingSelfMap` 4.1-2
`IsIdentityMatrix`, homalgTable entry B.2-2
`IsIdentityMorphism`, for ring maps 4.3-2
`IsInitialIdentityMatrix` 5.3-27
`IsInitialMatrix` 5.3-26
`IsInjectivePresentation` 6.3-2
`IsIntegersForHomalg` 3.3-5
`IsIntegralDomain` 3.3-23
`IsIntegrallyClosedDomain` 3.3-8
`IsInvertibleMatrix` 5.3-8
`IsIsomorphism`, for ring maps 4.3-5
`IsKaplanskyHermite` 3.3-10
`IsLeftArtinian` 3.3-34
`IsLeftFiniteFreePresentationRing` 3.3-44
`IsLeftGlobalDimensionFinite` 3.3-16
`IsLeftHereditary` 3.3-25
`IsLeftHermite` 3.3-28
`IsLeftInvertibleMatrix` 5.3-9
`IsLeftNoetherian` 3.3-31
`IsLeftOreDomain` 3.3-37
`IsLeftPrincipalIdealRing` 3.3-40
`IsLeftRegularMatrix` 5.3-6
`IsLocalRing` 3.3-21
`IsLowerStairCaseMatrix` 5.3-19
`IsLowerTriangularMatrix` 5.3-15
`IsMinusOne` 3.3-49
`IsMonomorphism`, for ring maps 4.3-3
`IsMorphism`, for ring maps 4.3-1
`IsMutableMatrix` 5.3-25
`IsNoetherian` 3.3-30
`IsOne` 5.3-2
`IsOne`, ResidueClassRing D.3-2
`IsOreDomain` 3.3-36
`IsPermutationMatrix` 5.3-3
`IsPreHomalgRing` 3.1-2
`IsPrincipalIdealRing` 3.3-39
`IsRationalsForHomalg` 3.3-2
`IsReducedBasisOfColumnsMatrix` 5.3-24
`IsReducedBasisOfRowsMatrix` 5.3-23
`IsRegular` 3.3-42
`IsResidueClassRingOfTheIntegers` 3.3-6
`IsRightArtinian` 3.3-35
`IsRightFiniteFreePresentationRing` 3.3-45
`IsRightGlobalDimensionFinite` 3.3-17
`IsRightHereditary` 3.3-26
`IsRightHermite` 3.3-29
`IsRightInvertibleMatrix` 5.3-10
`IsRightNoetherian` 3.3-32
`IsRightOreDomain` 3.3-38
`IsRightPrincipalIdealRing` 3.3-41
`IsRightRegularMatrix` 5.3-7
`IsRingRelationsRep` 6.1-4
`IsScalarlMatrix` 5.3-13
`IsSemiLocalRing` 3.3-22
`IsSemiSimpleRing` 3.3-47
`IsSimpleRing` 3.3-46
`IsSpecialSubidentityMatrix` 5.3-4
`IsStrictLowerTriangularMatrix` 5.3-17
`IsStrictUpperTriangularMatrix` 5.3-16
`IsSubidentityMatrix` 5.3-5
`IsTriangularMatrix` 5.3-20
`IsUniqueFactorizationDomain` 3.3-9
`IsUpperStairCaseMatrix` 5.3-18
`IsUpperTriangularMatrix` 5.3-14
`IsVoidMatrix` 5.3-28
`IsWeylRing` 3.3-14
`IsZero`, for matrices 5.3-1
`IsZeroMatrix`, ResidueClassRing D.2-16
`IsZeroMatrix`, homalgTable entry B.1-16
`KroneckerMat`, ResidueClassRing D.2-11
`KroneckerMat`, for matrices 5.5-8
`KroneckerMat`, homalgTable entry B.1-11
`KrullDimension` 3.4-19
`LeftDivide`, for pairs of matrices 5.5-41
`LeftDivide`, for triples of matrices 5.5-43
`LeftGlobalDimension` 3.4-20
`LeftInverse`, for matrices 5.4-13
`MatrixOfWeightsOfIndeterminates` 3.4-17
`MinusOne` 3.4-9
`MulMat`, ResidueClassRing D.2-12
`MulMat`, homalgTable entry B.1-12
`NonZeroColumns` 5.4-7
`NonZeroRows` 5.4-6
`NrColumns` 5.4-2
`NrColumns`, ResidueClassRing D.2-18
`NrColumns`, homalgTable entry B.1-18
`NrRows` 5.4-1
`NrRows`, ResidueClassRing D.2-17
`NrRows`, homalgTable entry B.1-17
`One`, for homalg ring elements 3.4-2
`One`, for homalg rings 3.4-8
`PositionOfFirstNonZeroEntryPerColumn` 5.4-9
`PositionOfFirstNonZeroEntryPerRow` 5.4-8
`Range`, for ring maps 4.4-2
`RationalParameters` 3.4-10
`ReducedBasisOfColumnModule`, for matrices 5.5-26
`ReducedBasisOfRowModule`, for matrices 5.5-25
`ReducedSyzygiesGeneratorsOfColumns`, for matrices 5.5-28
`ReducedSyzygiesGeneratorsOfRows`, for matrices 5.5-27
`ReducedSyzygiesOfColumns`, for matrices 5.5-39
`ReducedSyzygiesOfColumns`, for pairs of matrices 5.5-39
`ReducedSyzygiesOfRows`, for matrices 5.5-38
`ReducedSyzygiesOfRows`, for pairs of matrices 5.5-38
`RelativeSyzygiesGeneratorsOfColumns`, ResidueClassRing D.1-12
`RelativeSyzygiesGeneratorsOfRows`, ResidueClassRing D.1-11
`RightDivide`, for pairs of matrices 5.5-40
`RightDivide`, for triples of matrices 5.5-42
`RightGlobalDimension` 3.4-21
`RightInverse`, for matrices 5.4-14
`RingElementConstructor` 3.4-4
`RingMap`, constructor for ring maps 4.2-1
`RowRankOfMatrix` 5.4-11
`Source`, for ring maps 4.4-1
`StableRank` 3.4-25
`SubMat`, ResidueClassRing D.2-14
`SubMat`, homalgTable entry B.1-14
`SyzygiesGeneratorsOfColumns`, ResidueClassRing D.1-6
`SyzygiesGeneratorsOfColumns`, for matrices 5.5-22
`SyzygiesGeneratorsOfColumns`, for pairs of matrices 5.5-24
`SyzygiesGeneratorsOfRows`, ResidueClassRing D.1-5
`SyzygiesGeneratorsOfRows`, for matrices 5.5-21
`SyzygiesGeneratorsOfRows`, for pairs of matrices 5.5-23
`SyzygiesOfColumns`, for matrices 5.5-37
`SyzygiesOfColumns`, for pairs of matrices 5.5-37
`SyzygiesOfRows`, for matrices 5.5-36
`SyzygiesOfRows`, for pairs of matrices 5.5-36
`TypeOfHomalgMatrix` 3.4-5
`UnionOfColumns`, ResidueClassRing D.2-9
`UnionOfColumns`, for matrices 5.5-6
`UnionOfColumns`, homalgTable entry B.1-9
`UnionOfRows`, ResidueClassRing D.2-8
`UnionOfRows`, for matrices 5.5-5
`UnionOfRows`, homalgTable entry B.1-8
`WeightsOfIndeterminates` 3.4-16
`Zero`, for homalg ring elements 3.4-1
`Zero`, for homalg rings 3.4-7
`ZeroColumns` 5.4-5
`ZeroColumns`, ResidueClassRing D.3-5
`ZeroColumns`, homalgTable entry B.2-5
`ZeroMatrix`, ResidueClassRing D.2-3
`ZeroMatrix`, homalgTable entry B.1-3
`ZeroRows` 5.4-4
`ZeroRows`, ResidueClassRing D.3-4
`ZeroRows`, homalgTable entry B.2-4

Top of Book Previous Chapter
Goto Chapter: Top 1 2 3 4 5 6 A B C D E F Bib Ind

generated by GAPDoc2HTML