SubalgebraBases : Index
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ambient(SAGBIBasis) -- The ambient ring of a SAGBIBasis computation object
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ambient(Subring) -- The ambient ring of a subring
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AutoSubduce -- Flag for autosubduction before the Sagbi algorithm
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AutoSubduceOnPartialCompletion -- Subduct sagbi generators at the end of the Sagbi algorithm
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Example: Translation and rotation sub-actions of the adjoint action of SE(3)
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generators(SAGBIBasis) -- Returns a partial sagbi generating set
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generators(Subring) -- A generating set of a subring
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groebnerMembershipTest -- Extrinsic method for subring membership
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groebnerMembershipTest(RingElement,Subring) -- Extrinsic method for subring membership
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isSAGBI -- Check if the generators are a sagbi basis
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isSAGBI(SAGBIBasis) -- Check if the generators are a sagbi basis
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isSAGBI(Subring) -- Check if the generators are a sagbi basis
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Limit -- Degree limit for the Sagbi algorithm
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Matrix % SAGBIBasis -- Remainder modulo a subring
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Matrix % Subring -- Remainder modulo a subring
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net(SAGBIBasis) -- Short summary of a sagbi basis computation object
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net(Subring) -- Short summary of a subring
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numgens(Subring) -- The number of generators of a subring
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PrintLevel -- Levels of information displayed during Sagbi algorithm
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ReduceNewGenerators -- Flag for reducing new generators in Sagbi algorithm
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ring(SAGBIBasis) -- The lifted ring of a SAGBIBasis computation object
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RingElement % SAGBIBasis -- Remainder modulo a subring
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RingElement % Subring -- Remainder modulo a subring
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sagbi -- Compute a subalgebra basis (sagbi basis)
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sagbi(...,AutoSubduce=>...) -- Compute a subalgebra basis (sagbi basis)
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sagbi(...,AutoSubduceOnPartialCompletion=>...) -- Compute a subalgebra basis (sagbi basis)
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sagbi(...,Limit=>...) -- Compute a subalgebra basis (sagbi basis)
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sagbi(...,PrintLevel=>...) -- Compute a subalgebra basis (sagbi basis)
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sagbi(...,ReduceNewGenerators=>...) -- Compute a subalgebra basis (sagbi basis)
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sagbi(...,StorePending=>...) -- Compute a subalgebra basis (sagbi basis)
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sagbi(...,Strategy=>...) -- Compute a subalgebra basis (sagbi basis)
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sagbi(...,SubductionMethod=>...) -- Compute a subalgebra basis (sagbi basis)
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sagbi(List) -- Compute a subalgebra basis (sagbi basis)
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sagbi(Matrix) -- Compute a subalgebra basis (sagbi basis)
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sagbi(SAGBIBasis) -- Compute a subalgebra basis (sagbi basis)
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sagbi(Subring) -- Compute a subalgebra basis (sagbi basis)
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SAGBIBasis -- The type of all sagbi bases
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sagbiBasis -- Constructs a computation object from a subring.
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sagbiBasis(...,VariableBaseName=>...) -- Constructs a computation object from a subring.
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sagbiBasis(HashTable) -- Constructs a computation object from a subring.
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sagbiBasis(Subring) -- Constructs a computation object from a subring.
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StorePending -- Flag for storing the pending list to the result of the Sagbi algorithm
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Strategy -- Update procedure for the Sagbi algorithm
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SubalgebraBases -- A package for finding canonical subalgebra bases (Sagbi bases)
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subalgebraBasis -- Compute subalgebra basis (sagbi basis) generators
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subalgebraBasis(...,AutoSubduce=>...) -- Compute subalgebra basis (sagbi basis) generators
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subalgebraBasis(...,AutoSubduceOnPartialCompletion=>...) -- Compute subalgebra basis (sagbi basis) generators
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subalgebraBasis(...,Limit=>...) -- Compute subalgebra basis (sagbi basis) generators
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subalgebraBasis(...,PrintLevel=>...) -- Compute subalgebra basis (sagbi basis) generators
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subalgebraBasis(...,ReduceNewGenerators=>...) -- Compute subalgebra basis (sagbi basis) generators
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subalgebraBasis(...,StorePending=>...) -- Compute subalgebra basis (sagbi basis) generators
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subalgebraBasis(...,Strategy=>...) -- Compute subalgebra basis (sagbi basis) generators
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subalgebraBasis(...,SubductionMethod=>...) -- Compute subalgebra basis (sagbi basis) generators
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subalgebraBasis(List) -- Compute subalgebra basis (sagbi basis) generators
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subalgebraBasis(Matrix) -- Compute subalgebra basis (sagbi basis) generators
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subalgebraBasis(Subring) -- Compute subalgebra basis (sagbi basis) generators
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SubductionMethod -- Subduction method for the Sagbi algorithm
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Subring -- The type of all subrings
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subring -- Constructs a subring of a polynomial ring.
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subring(List) -- Constructs a subring of a polynomial ring.
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subring(Matrix) -- Constructs a subring of a polynomial ring.
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subring(SAGBIBasis) -- Constructs a subring of a polynomial ring.
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verifySagbi -- Test if the generators form sagbi basis
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verifySagbi(...,Limit=>...) -- Test if the generators form sagbi basis
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verifySagbi(...,PrintLevel=>...) -- Test if the generators form sagbi basis
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verifySagbi(...,Strategy=>...) -- Test if the generators form sagbi basis
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verifySagbi(...,SubductionMethod=>...) -- Test if the generators form sagbi basis
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verifySagbi(List) -- Test if the generators form sagbi basis
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verifySagbi(Matrix) -- Test if the generators form sagbi basis
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verifySagbi(Subring) -- Test if the generators form sagbi basis