Oh we finally cleared all doubts. I found another paper which shows those two approaches. www.ricam.oeaw.ac.at/conferences/aca08/Pauer.pdf Thanks for helping. Bye
On Aug 3, 6:00 pm, Michael Brickenstein <[email protected]> wrote: > Hi Simon! > Search in the same book for "strong" Gröbner bases. > Cheers, > Michael > > Am 03.08.2010 um 17:58 schrieb Simon King: > > > > > Hi Dusan, > > > On 3 Aug., 14:21, Dušan Orlović <[email protected]> wrote: > >> Please read this > >> book<http://books.google.com/books?id=Caoxi78WaIAC&pg=PA201&dq=adams+loust...>(just > >> first five pages in chapter 4). > > > I just did. Perhaps I stand corrected -- at least, Adams and Lusteanu > > write that they take linear combinations of the leading tems of those > > polynomials whose leading monomials (without coefficient) divide the > > leading monomial of the polynomial that is being reduced. > > > On the other hand, I never heard a reduction being described in that > > way. So, could it be that other authors give a different definition > > (sorry, I don't have any books handy right now)? Given the fact that > > Singular (std, as slimgb requires a field) *and* magma agree on the > > result makes me a bit reluctant to believe that the definition you are > > citing is the one used by Singular and Magma. > > > So, I guess I should go to the library tomorrow. > > > Cheers, > > Simon > > > -- > > To post to this group, send an email to [email protected] > > To unsubscribe from this group, send an email to > > [email protected] > > For more options, visit this group > > athttp://groups.google.com/group/sage-devel > > URL:http://www.sagemath.org > > ------------------------------------------- > Michael Brickenstein > Mathematisches Forschungsinstitut Oberwolfach gGmbH > Schwarzwaldstr. 9 - 11 > 77709 Oberwolfach > Tel.: 07834/979-31 > Fax: 07834/979-38 -- To post to this group, send an email to [email protected] To unsubscribe from this group, send an email to [email protected] For more options, visit this group at http://groups.google.com/group/sage-devel URL: http://www.sagemath.org
