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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
Project: cocalc-sagemath-dev-slelievre
Views: 418346############################################################################# ## ## Modules.gd Modules package Mohamed Barakat ## ## Copyright 2007-2010, Mohamed Barakat, University of Kaiserslautern ## ## Declarations of homalg procedures for modules. ## ############################################################################# #################################### # # global functions and operations: # #################################### DeclareGlobalFunction( "ReducedBasisOfModule" ); # basic operations: DeclareOperation( "/", [ IsHomalgGenerators, IsHomalgGenerators ] ); DeclareOperation( "/", [ IsHomalgMatrix, IsHomalgModule ] ); DeclareOperation( "/", [ IsHomalgRelations, IsHomalgModule ] ); DeclareOperation( "/", [ IsHomalgRing, IsHomalgModule ] ); DeclareOperation( "AnyParametrization", [ IsHomalgRelations ] ); DeclareOperation( "AnyParametrization", [ IsHomalgModule ] ); DeclareOperation( "MinimalParametrization", [ IsHomalgModule ] ); DeclareOperation( "SeveralMinimalParametrizations", [ IsHomalgModule ] ); DeclareOperation( "Parametrization", [ IsHomalgModule ] ); DeclareOperation( "Intersect2", [ IsHomalgRelations, IsHomalgRelations ] ); DeclareOperation( "Annihilator", [ IsHomalgMatrix, IsHomalgRelations ] ); DeclareOperation( "AnnihilatorsOfGenerators", [ IsHomalgModule ] ); DeclareOperation( "FittingIdeal", [ IsInt, IsHomalgModule ] ); DeclareOperation( "NumberOfFirstNonZeroFittingIdeal", [ IsHomalgModule ] ); DeclareOperation( "MapHavingCertainGeneratorsAsItsImage", [ IsHomalgModule, IsList ] ); DeclareOperation( "AMaximalIdealContaining", [ IsHomalgModule ] ); DeclareOperation( "IdealOfRationalPoints", [ IsHomalgModule, IsHomalgRing ] );