7.7.3.0. sa_poly_reduce

Usage:

sa_poly_reduce(p, V); p poly, V ideal

Return:

polynomial, a reduction of p w.r.t. V

Purpose:

computes a reduction of the polynomial p w.r.t. the subalgebra generated by elements of V

Note:

At the moment the usage of this procedure is limited to G-algebras

LIB "central.lib";
ring AA = 0,(x,y,z),dp;
matrix D[3][3]=0;
D[1,2]=-z; D[1,3]=2*x; D[2,3]=-2*y;
def A = nc_algebra(1,D); setring A; // this algebra is U(sl_2)
poly f = 4*x*y+z^2-2*z; // a central polynomial
sa_poly_reduce(f + 3*f*f + x, ideal(f) ); // should be just 'x'
==> x