Singular Manual: sa_poly_reduce

| ##### 7.5.3.0. sa_poly_reduce Procedure from library `central.lib` (see central_lib). 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 Example:
    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
See also: sa_reduce.

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