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##
##  GroebnerBasisOfToricIdeal.gd     ToricVarieties       Sebastian Gutsche
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##  Copyright 2012 Lehrstuhl B für Mathematik, RWTH Aachen
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##  Functors for toric varieties.
##
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# DeclareOperationWithDocumentation( "GeneratingSetOfToricIdealGivenByHilbertBasis",
#                                    [ IsMatrix ],
#                                    [ "Computes the generating set of a toric ideal given by the",
#                                      "Hilbert basis of a cone" ],
#                                      "a Matrix",
#                                      "a",
#                                    [ "Groebner_Basis", "Groebner_Basis_of_a_toric_ideal" ] );

DeclareOperation( "GeneratingSetOfToricIdealGivenByHilbertBasis",
                  [ IsList ] );

DeclareGlobalFunction( "cmp_forGeneratingSetOfToricIdealGivenByHilbertBasis" );

DeclareGlobalFunction( "normalize_forGeneratingSetOfToricIdealGivenByHilbertBasis" );

DeclareGlobalFunction( "prepareIdeal_forGeneratingSetOfToricIdealGivenByHilbertBasis" );

DeclareGlobalFunction( "divides_forGeneratingSetOfToricIdealGivenByHilbertBasis" );

DeclareGlobalFunction( "findDivisor_forGeneratingSetOfToricIdealGivenByHilbertBasis" );

DeclareGlobalFunction( "reduce_forGeneratingSetOfToricIdealGivenByHilbertBasis" );