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Re: grobner basis question

daemon@ATHENA.MIT.EDU (Reid M. Pinchback)
Wed May 31 16:46:10 1995

To: msug@MIT.EDU
Cc: sywong@MIT.EDU
Reply-To: msug@MIT.EDU
Date: Wed, 31 May 1995 16:44:40 EDT
From: "Reid M. Pinchback" <reidmp@MIT.EDU>


I just tried a stupid hack that seems to be doing something.  The
computation is still in progress, but at least that error message
didn't come up.

Step 1:  Define G1 as you indicated and "with(grobner)"

Step 2:  H1 := subs(I=k,G1):

Step 3:  H2 := diff(H1,t):

Step 4:  gbasis( [ H1, H2, k^2+1 ], [t,x,a,b,k], plex );


In other words, I replaced "I" by the symbol "k".  Since "I" is sqrt(-1),
so is k, and hence k^2+1=0.   Although my ring theory is very rusty,
isn't it thus allowable to add k^2+1 to the set of generators for
the ideal?  If anybody out there is more sure of this, please pipe up!

PS: In reading the ?gbasis help page, it says that you shouldn't add
    parameters to the list of indeterminants.  If any of [t,x,a,b] are
    parameters, then perhaps you need to remove them from the list.
    In other words, if they are a symbolic value belonging to the
    coefficient ring, then they aren't one of the indeterminants.

===============================================================
= Reid M. Pinchback                                           =
= Senior Faculty Liaison                                      =
= Academic Computing Services, MIT                            =
=                                                             =
= Email:   reidmp@mit.edu                                     =
= URL:     http://web.mit.edu/user/r/e/reidmp/www/home.html   =
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