singular

the GAP interface to Singular

Version 06.07.23

23 July 2006

Marco Costantini
e-mail: costanti@science.unitn.it
WWW: http://www-math.science.unitn.it/~costanti/

Willem A. de Graaf
e-mail: degraaf@science.unitn.it
WWW: http://www.science.unitn.it/~degraaf/

Copyright

(C) 2003, 2004, 2005, 2006 Marco Costantini and Willem A. de Graaf

Contents

1. singular: the GAP interface to Singular
   1.1 Introduction
      1.1-1 Package evolution
      1.1-2 The system Singular
      1.1-3 The system GAP
   1.2 Installation
      1.2-1 Installing the system Singular
      1.2-2 Installing the system GAP
      1.2-3 Installing the package singular
      1.2-4 sing_exec
   1.3 Interaction with Singular
      1.3-1 StartSingular
      1.3-2 SingularHelp
      1.3-3 Rings and orderings
      1.3-4 Supported coefficients fields
      1.3-5 SetTermOrdering
      1.3-6 SingularSetBaseRing
      1.3-7 SingularLibrary
      1.3-8 SingularInterface
      1.3-9 SingularType
   1.4 Interaction with Singular at low level
      1.4-1 SingularCommand
      1.4-2 GapInterface
   1.5 Other mathematical functions of the package
      1.5-1 GroebnerBasis
      1.5-2 SINGULARGBASIS
      1.5-3 HasTrivialGroebnerBasis
      1.5-4 GcdUsingSingular
      1.5-5 FactorsUsingSingularNC
      1.5-6 FactorsUsingSingular
      1.5-7 GeneratorsOfInvariantRing
   1.6 Algebraic-geometric codes functions
      1.6-1 AllPointsOnCurve
      1.6-2 AGCode
   1.7 Troubleshooting and technical stuff
      1.7-1 Supported platforms and underlying GAP functions
      1.7-2 How different versions of GAP display polynomial rings and polynomials
      1.7-3 Test file
      1.7-4 Common problems
      1.7-5 Errors on the Singular side
      1.7-6 Sending a report
      1.7-7 SingularReportInformation
      1.7-8 InfoSingular




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