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 <duleorlo...@gmail.com> 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 sage-devel@googlegroups.com > To unsubscribe from this group, send an email to > sage-devel+unsubscr...@googlegroups.com > For more options, visit this group at > http://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 sage-devel@googlegroups.com To unsubscribe from this group, send an email to sage-devel+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-devel URL: http://www.sagemath.org
