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The difference between my book and Singular.
https://www.singular.uni-kl.de/forum/viewtopic.php?f=10&t=1799		 Page 1 of 1
Author:  Popcorn [ Fri Feb 05, 2010 8:20 pm ]
Post subject:  The difference between my book and Singular.
I have a problem with the exercise.

Code:
ring A  = 0 , (x,y,z), dp; // a global ordering
poly f = x2yz + xy2z + y2z + z3 + xy;
poly f1 = xy + y2 -1
poly f2 = xy;
ideal G = f1, f2;
ideal S = std(G)  //a standard basis of <G>
S;


In my book I have a result:
//-> S[1]=xy
//-> S[2]=y2-1

but in Singular the returns:
//-> S[1]=x
//-> S[2]=y2-1

Why?

Cheers







and the programme returns:
//-> S[1]=x
//-> S[2]=y2-1
Author:  greuel [ Sun Feb 14, 2010 9:28 pm ]
Post subject:  Re: The difference between my book and Singular.
You don't need a computer to see that your book is wrong.
Multiply f1 with x and you see that x is in G.
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