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Re: Syzygy module computation
Posted:
Jul 1, 2013 5:43 AM


On Friday, June 28, 2013 2:49:21 AM UTC5, Marko Petkov=C5=A1ek wrote: > Hi everyone, > > > > I wish to compute the first syzygy module of a finitely generated module over a polynomial ring over a field. Is there a Mathematica package available that does this? I am aware of Singular.m which is an interface to Singular, but I am looking for a standalone Mathematica package. > > > > Many thanks, > > > > Marko
Marko,
There is code to find the conversion matrix in the thread found by the below URL. It is set up to work on polynomial ideals by embedding in a module, so one would need to do a bit more work to enlarge that with a separate set of generators.
http://forums.wolfram.com/mathgroup/archive/2011/Mar/msg00362.html
It also will give the syzygy matrix. Just use the rows for which the first column entry is zero (if I remember correctly how I set it up).
Daniel Lichtblau Wolfram Research



