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7.8.3 rightstd (letterplace)
Syntax:
-
rightstd( ideal_expression);
Type:
- ideal
Purpose:
- Compute a right Groebner basis of the set of generators of the input ideal.
It is also effective in factor rings.
| | LIB "freegb.lib";
ring r = 0,(x,z),dp;
def R = freeAlgebra(r,7); setring R;
ideal I = z,x*z,x*x*z;
rightstd(I); // a right GB of I in K<x,z>
==> _[1]=z
==> _[2]=x*z
==> _[3]=x*x*z
qring Q = twostd(x*z); // now we change to the factor algebra modulo x*z
ideal I = imap(R,I);
rightstd(I); // a right GB in a factor algebra
==> _[1]=z
reduce(I,twostd(0)); // an explanation for the latter
==> _[1]=z
==> _[2]=0
==> _[3]=0
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