Primary Decomposition Packages

• For Risa/Asir
  The package file noro_pd.rr is contained in OpenXM package (>=1.3.1-6).
  This file contains a function noro_pd.syci_dec(Ideal,Vars). See [1] for its usage.
• For Singular
  primdecSYCI.lib is the package file for Singular 3-1-X (X>=2).
  This file contains a function primdecSYCI(ideal I).
  Its usage is similar to primdecGTZ or primdecSY.
• For Macaulay2
  The package file syci.m2 contains a function sycidec(I), where I is an ideal.
• Examples used in the above paper
  • For Asir
  • For Macaulay2
  • For Singular
  • Examples in [2] for Singular

References

1. T. Kawazoe and M. Noro, Algorithms for computing primary ideal decomposition without producing intermediate redundant components preprint submitted to JSC.
2. W. Decker, G.-M. Greuel, G. Pfister, Primary decomposition: Algorithms and comparisons, Algorithmic algebra and number theory, Springer, 187--220 (1998).