Suppose I have two ideals I & J in k[X_1,\cdots,x_n], where k is a
field. How do I reduce an ideal I wrt ideal J.
e.g. Singular provides me a command
singular > reduce(I,std(J));
Without moving back and forth to Singular, is it possible to implement
this in sage?
I tried the following code:
sage: R.<X,Y,Z> = PolynomialRing(QQ,3,order=TermOrder('wdeglex',[4,6,11]));
sage: I = R.ideal(X^2-Y^3+Z^4, Y^5-Z^6+X^7, Z^13-X^12+Y^11);
sage: I2 = I*I;
sage: I3 = I2*I;
sage: I2gb = I2.groebner_basis();
sage: I3gb = I3.groebner_basis();
sage: I2gb
sage: I3_red_I2 = reduce(I3, I2gb);
The last command (redece) is giving me an error. I am not getting what
wrong I am doing...
Thanks and regards
-- VInay Wagh
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