Hi!
It seems to me, that restricted to rings and ideals,
the ordering looks like
2 5
-1 -2
So, the Matrix M(1,1,0,-1) is probably useless in this example.

Michael
Am 09.09.2009 um 12:56 schrieb Martin Albrecht:

>
> Hi there,
>
> I have to say that I don't like the
>
>   WeightVector(2,5) + ModuleOrder('c')
>
> syntax. WeightVector is a modification of the following term order (in
> Singular). It feels much more natural to me to simply do:
>
>   TermOrder('lex',weights=(2,5))
>
> Also, I don't really understand what
>
>> ring R =0,(x, y), (a(2,5), c, a(-1,-2), M(1,1,0,-1)); R;
> //   characteristic : 0
> //   number of vars : 2
> //        block   1 : ordering a
> //                  : names    x y
> //                  : weights  2 5
> //        block   2 : ordering c
> //        block   3 : ordering a
> //                  : names    x y
> //                  : weights  -1 -2
> //        block   4 : ordering M
> //                  : names    x y
> //                  : weights  1 1
> //                  : weights  0 -1
>> deg(x); // note that the 1st "a"/"M"/weighted ordering is used for  
>> "deg"
> 2
>> deg(y);
> 5
>
> does exactly. As far as I can see a(X,Y) modifies the following  
> ordering which
> eventually is the Matrix odering (1,1,0,-1).  What's the role of the  
> second
> a(X,Y) in the example above?
>
> Cheers,
> Martin
>
>
> -- 
> name: Martin Albrecht
> _pgp: http://pgp.mit.edu:11371/pks/lookup?op=get&search=0x8EF0DC99
> _otr: 47F43D1A 5D68C36F 468BAEBA 640E8856 D7951CCF
> _www: http://www.informatik.uni-bremen.de/~malb
> _jab: martinralbre...@jabber.ccc.de
>
>
>
> 

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