\*, copy a matrix over a different ring  5.2-8\*, copy a matrix over a different ring (right)  5.2-8\*, for composable matrices  5.5-16\*, for ring elements and matrices  5.5-13\+, for matrices  5.5-14\-, for matrices  5.5-15\/, constructor for residue class rings  3.2-3\=, for matrices  5.5-17AddMat, ResidueClassRing  D.2-13AddMat, homalgTable entry  B.1-13AffineDegree  5.4-21AffineDimension  5.4-20AreEqualMatrices, ResidueClassRing  D.3-1AreEqualMatrices, homalgTable entry  B.2-1AreUnitsCentral  3.3-55AssociatedGradedRing  3.4-28BasisAlgorithmRespectsPrincipalIdeals  3.3-54BasisOfColumnModule, ResidueClassRing  D.1-2BasisOfColumnModule, for matrices  5.5-23BasisOfColumns, for matrices  5.5-39BasisOfColumns, for pairs of matrices  5.5-39BasisOfColumnsCoeff, ResidueClassRing  D.1-8BasisOfColumnsCoeff, for matrices  5.5-35BasisOfRowModule, ResidueClassRing  D.1-1BasisOfRowModule, for matrices  5.5-22BasisOfRows, for matrices  5.5-38BasisOfRows, for pairs of matrices  5.5-38BasisOfRowsCoeff, ResidueClassRing  D.1-7BasisOfRowsCoeff, for matrices  5.5-34CanBeUsedToDecideZero  6.3-1CertainColumns, ResidueClassRing  D.2-7CertainColumns, for matrices  5.5-8CertainColumns, homalgTable entry  B.1-7CertainRows, ResidueClassRing  D.2-6CertainRows, for matrices  5.5-7CertainRows, homalgTable entry  B.1-6CoefficientsOfNumeratorOfHilbertPoincareSeries  5.4-15CoefficientsOfUnreducedNumeratorOfHilbertPoincareSeries  5.4-14CoefficientsRing  3.4-20ColumnRankOfMatrix  5.4-11Compose, ResidueClassRing  D.2-15Compose, homalgTable entry  B.1-15ConstantTermOfHilbertPolynomialn  5.4-23ConstructorForHomalgMatrices  3.4-5ContainsAField  3.3-2CoordinateRingOfGraph, for ring maps  4.4-4DecideZero, for matrices and relations  5.5-40DecideZeroColumns, ResidueClassRing  D.1-4DecideZeroColumns, for pairs of matrices  5.5-25DecideZeroColumnsEffectively, ResidueClassRing  D.1-10DecideZeroColumnsEffectively, for pairs of matrices  5.5-37DecideZeroRows, ResidueClassRing  D.1-3DecideZeroRows, for pairs of matrices  5.5-24DecideZeroRowsEffectively, ResidueClassRing  D.1-9DecideZeroRowsEffectively, for pairs of matrices  5.5-36DegreeOfMorphism, for ring maps  4.4-3Determinant, ResidueClassRing  D.2-19Determinant, homalgTable entry  B.1-19DeterminantMat  5.4-3DiagMat, ResidueClassRing  D.2-10DiagMat, for matrices  5.5-11DiagMat, homalgTable entry  B.1-10ElementaryRank  3.4-26Eliminate  5.5-21Eval, for matrices created with AddMat  C.4-15Eval, for matrices created with CertainColumns  C.4-9Eval, for matrices created with CertainRows  C.4-8Eval, for matrices created with Compose  C.4-17Eval, for matrices created with DiagMat  C.4-12Eval, for matrices created with HomalgIdentityMatrix  C.4-4Eval, for matrices created with HomalgInitialIdentityMatrix  C.4-2Eval, for matrices created with HomalgInitialMatrix  C.4-1Eval, for matrices created with HomalgZeroMatrix  C.4-3Eval, for matrices created with Involution  C.4-7Eval, for matrices created with KroneckerMat  C.4-13Eval, for matrices created with LeftInverseLazy  C.4-5Eval, for matrices created with MulMat  C.4-14Eval, for matrices created with RightInverseLazy  C.4-6Eval, for matrices created with SubMat  C.4-16Eval, for matrices created with UnionOfColumns  C.4-11Eval, for matrices created with UnionOfRows  C.4-10GeneralLinearRank  3.4-25GenerateSameColumnModule, for pairs of matrices  5.5-50GenerateSameRowModule, for pairs of matrices  5.5-49GetColumnIndependentUnitPositions, for matrices  5.5-18GetColumnIndependentUnitPositions, homalgTable entry  B.2-6GetRowIndependentUnitPositions, for matrices  5.5-19GetRowIndependentUnitPositions, homalgTable entry  B.2-7GetUnitPosition, for matrices  5.5-20GetUnitPosition, homalgTable entry  B.2-8GlobalDimension  3.4-24HasInvariantBasisProperty  3.3-20HasLeftInvariantBasisProperty  3.3-21HasRightInvariantBasisProperty  3.3-22HilbertPoincareSeries  5.4-18HilbertPolynomial  5.4-19HomalgDiagonalMatrix, constructor for diagonal matrices  5.2-7HomalgFieldOfRationals, constructor for the field of rationals  3.2-2HomalgIdentityMatrix, constructor for identity matrices  5.2-4HomalgInitialIdentityMatrix, constructor for initial quadratic matrices with ones on the diagonal  5.2-2HomalgInitialMatrix, constructor for initial matrices filled with zeros  5.2-1HomalgMatrix, constructor for matrices using a list  5.2-6HomalgMatrix, constructor for matrices using a listlist  5.2-6HomalgMatrix, constructor for matrices using a string of a list  5.2-6HomalgMatrix, constructor for matrices using a string of a listlist  5.2-6homalgMode  E.2-1HomalgRing, for matrices  5.5-1HomalgRingOfIntegers, constructor for the integers  3.2-1HomalgRingOfIntegers, constructor for the residue class rings of the integers  3.2-1homalgTable  3.4-2HomalgVoidMatrix, constructor for void matrices  5.2-5HomalgZeroMatrix, constructor for zero matrices  5.2-3IdentityMatrix, ResidueClassRing  D.2-4IdentityMatrix, homalgTable entry  B.1-4IndeterminateAntiCommutingVariablesOfExteriorRing  3.4-17IndeterminateCoordinatesOfRingOfDerivations  3.4-13IndeterminateDerivationsOfRingOfDerivations  3.4-15IndeterminatesOfExteriorRing  3.4-19IndeterminatesOfPolynomialRing  3.4-11InitialIdentityMatrix, ResidueClassRing  D.2-2InitialIdentityMatrix, homalgTable entry for initial identity matrices  B.1-2InitialMatrix, ResidueClassRing  D.2-1InitialMatrix, homalgTable entry for initial matrices  B.1-1Inverse, for homalg ring elements  3.4-1Involution, ResidueClassRing  D.2-5Involution, for matrices  5.5-6Involution, homalgTable entry  B.1-5IsArtinian, for rings  3.3-38IsAutomorphism, for ring maps  4.3-6IsBasisOfColumnsMatrix  5.3-23IsBasisOfRowsMatrix  5.3-22IsBezoutRing  3.3-8IsCohenMacaulay  3.3-35IsDedekindDomain  3.3-12IsDiagonalMatrix  5.3-13IsDiagonalMatrix, ResidueClassRing  D.3-3IsDiagonalMatrix, homalgTable entry  B.2-3IsDiscreteValuationRing  3.3-13IsDivisionRingForHomalg  3.3-5IsEmptyMatrix  5.3-12IsEpimorphism, for ring maps  4.3-4IsFieldForHomalg  3.3-4IsFiniteFreePresentationRing  3.3-48IsFreePolynomialRing  3.3-14IsGlobalDimensionFinite  3.3-17IsGorenstein  3.3-36IsHereditary  3.3-26IsHermite  3.3-29IsHomalgInternalMatrixRep  5.1-2IsHomalgInternalRingRep  3.1-4IsHomalgMatrix  5.1-1IsHomalgRing  3.1-1IsHomalgRingElement  3.1-3IsHomalgRingMap  4.1-1IsHomalgRingMapRep  4.1-3IsHomalgRingRelations  6.1-1IsHomalgRingRelationsAsGeneratorsOfLeftIdeal  6.1-2IsHomalgRingRelationsAsGeneratorsOfRightIdeal  6.1-3IsHomalgRingSelfMap  4.1-2IsIdentityMatrix, homalgTable entry  B.2-2IsIdentityMorphism, for ring maps  4.3-2IsInitialIdentityMatrix  5.3-27IsInitialMatrix  5.3-26IsInjectivePresentation  6.3-2IsIntegersForHomalg  3.3-6IsIntegralDomain  3.3-25IsIntegrallyClosedDomain  3.3-9IsInvertibleMatrix  5.3-9IsIsomorphism, for ring maps  4.3-5IsKaplanskyHermite  3.3-11IsKoszul  3.3-37IsLeftArtinian  3.3-39IsLeftFiniteFreePresentationRing  3.3-49IsLeftGlobalDimensionFinite  3.3-18IsLeftHereditary  3.3-27IsLeftHermite  3.3-30IsLeftInvertibleMatrix  5.3-10IsLeftNoetherian  3.3-33IsLeftOreDomain  3.3-42IsLeftPrincipalIdealRing  3.3-45IsLeftRegular  5.3-7IsLeftRegular, for homalg ring elements  3.3-59IsLocal  3.3-23IsLocalizedWeylRing  3.3-16IsLowerStairCaseMatrix  5.3-20IsLowerTriangularMatrix  5.3-16IsMinusOne  3.3-56IsMonic, for homalg ring elements  3.3-57IsMonicUptoUnit, for homalg ring elements  3.3-58IsMonomorphism, for ring maps  4.3-3IsMorphism, for ring maps  4.3-1IsNoetherian  3.3-32IsOne  5.3-2IsOne, ResidueClassRing  D.3-2IsOreDomain  3.3-41IsPermutationMatrix  5.3-4IsPreHomalgRing  3.1-2IsPrincipalIdealRing  3.3-44IsRationalsForHomalg  3.3-3IsReducedBasisOfColumnsMatrix  5.3-25IsReducedBasisOfRowsMatrix  5.3-24IsRegular  3.3-47IsRegular, for homalg ring elements  3.3-61IsResidueClassRingOfTheIntegers  3.3-7IsRightArtinian  3.3-40IsRightFiniteFreePresentationRing  3.3-50IsRightGlobalDimensionFinite  3.3-19IsRightHereditary  3.3-28IsRightHermite  3.3-31IsRightInvertibleMatrix  5.3-11IsRightNoetherian  3.3-34IsRightOreDomain  3.3-43IsRightPrincipalIdealRing  3.3-46IsRightRegular  5.3-8IsRightRegular, for homalg ring elements  3.3-60IsRingRelationsRep  6.1-4IsScalarlMatrix  5.3-14IsSemiLocalRing  3.3-24IsSemiSimpleRing  3.3-52IsSimpleRing  3.3-51IsSpecialSubidentityMatrix  5.3-5IsStrictLowerTriangularMatrix  5.3-18IsStrictUpperTriangularMatrix  5.3-17IsSubidentityMatrix  5.3-6IsSuperCommutative  3.3-53IsTriangularMatrix  5.3-21IsUniqueFactorizationDomain  3.3-10IsUnitFree  5.3-3IsUpperStairCaseMatrix  5.3-19IsUpperTriangularMatrix  5.3-15IsVoidMatrix  5.3-28IsWeylRing  3.3-15IsZero, for matrices  5.3-1IsZero, for rings  3.3-1IsZeroMatrix, ResidueClassRing  D.2-16IsZeroMatrix, homalgTable entry  B.1-16KroneckerMat, ResidueClassRing  D.2-11KroneckerMat, for matrices  5.5-12KroneckerMat, homalgTable entry  B.1-11KrullDimension  3.4-21LeftDivide, for pairs of matrices  5.5-46LeftDivide, for triples of matrices  5.5-48LeftGlobalDimension  3.4-22LeftInverse  5.4-12LeftInverse, for matrices  5.5-2LeftInverseLazy, for matrices  5.5-4MatrixOfSymbols  5.4-24MinusOne  3.4-8MulMat, ResidueClassRing  D.2-12MulMat, homalgTable entry  B.1-12NonZeroColumns  5.4-7NonZeroRows  5.4-6NrColumns  5.4-2NrColumns, ResidueClassRing  D.2-18NrColumns, homalgTable entry  B.1-18NrRows  5.4-1NrRows, ResidueClassRing  D.2-17NrRows, homalgTable entry  B.1-17NumeratorOfHilbertPoincareSeries  5.4-17One, for homalg rings  3.4-7PositionOfFirstNonZeroEntryPerColumn  5.4-9PositionOfFirstNonZeroEntryPerColumn, homalgTable entry  B.2-10PositionOfFirstNonZeroEntryPerRow  5.4-8PositionOfFirstNonZeroEntryPerRow, homalgTable entry  B.2-9ProductOfIndeterminates  3.4-9ProjectiveDegree  5.4-22Range, for ring maps  4.4-2RationalParameters  3.4-10ReducedBasisOfColumnModule, for matrices  5.5-31ReducedBasisOfRowModule, for matrices  5.5-30ReducedSyzygiesGeneratorsOfColumns, for matrices  5.5-33ReducedSyzygiesGeneratorsOfRows, for matrices  5.5-32ReducedSyzygiesOfColumns, for matrices  5.5-44ReducedSyzygiesOfColumns, for pairs of matrices  5.5-44ReducedSyzygiesOfRows, for matrices  5.5-43ReducedSyzygiesOfRows, for pairs of matrices  5.5-43RelativeIndeterminateAntiCommutingVariablesOfExteriorRing  3.4-18RelativeIndeterminateCoordinatesOfRingOfDerivations  3.4-14RelativeIndeterminateDerivationsOfRingOfDerivations  3.4-16RelativeIndeterminatesOfPolynomialRing  3.4-12RelativeSyzygiesGeneratorsOfColumns, ResidueClassRing  D.1-12RelativeSyzygiesGeneratorsOfRows, ResidueClassRing  D.1-11RightDivide, for pairs of matrices  5.5-45RightDivide, for triples of matrices  5.5-47RightGlobalDimension  3.4-23RightInverse  5.4-13RightInverse, for matrices  5.5-3RightInverseLazy, for matrices  5.5-5RingElementConstructor  3.4-3RingMap, constructor for ring maps  4.2-1RowRankOfMatrix  5.4-10Source, for ring maps  4.4-1StableRank  3.4-27SubMat, ResidueClassRing  D.2-14SubMat, homalgTable entry  B.1-14SyzygiesGeneratorsOfColumns, ResidueClassRing  D.1-6SyzygiesGeneratorsOfColumns, for matrices  5.5-27SyzygiesGeneratorsOfColumns, for pairs of matrices  5.5-29SyzygiesGeneratorsOfRows, ResidueClassRing  D.1-5SyzygiesGeneratorsOfRows, for matrices  5.5-26SyzygiesGeneratorsOfRows, for pairs of matrices  5.5-28SyzygiesOfColumns, for matrices  5.5-42SyzygiesOfColumns, for pairs of matrices  5.5-42SyzygiesOfRows, for matrices  5.5-41SyzygiesOfRows, for pairs of matrices  5.5-41TypeOfHomalgMatrix  3.4-4UnionOfColumns, ResidueClassRing  D.2-9UnionOfColumns, for matrices  5.5-10UnionOfColumns, homalgTable entry  B.1-9UnionOfRows, ResidueClassRing  D.2-8UnionOfRows, for matrices  5.5-9UnionOfRows, homalgTable entry  B.1-8UnreducedNumeratorOfHilbertPoincareSeries  5.4-16Zero, for homalg rings  3.4-6ZeroColumns  5.4-5ZeroColumns, ResidueClassRing  D.3-5ZeroColumns, homalgTable entry  B.2-5ZeroMatrix, ResidueClassRing  D.2-3ZeroMatrix, homalgTable entry  B.1-3ZeroRows  5.4-4ZeroRows, ResidueClassRing  D.3-4ZeroRows, homalgTable entry  B.2-4
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