Find polynomial in terms of ideal
I have been reading the tutorials and experimenting with the polynomial ring code but I have not been able to find out how to express a given polynomial in terms of the generators of an ideal. For instance, if I define a few polynomial generators of an ideal, say 'f=xyz-y^2' and 'g=x^3 + z', and have a polynomial p, I would like to express p as 'p = uf + vg', where I need to find the polynomials u,v. I tried a bunch of solve(,u,v) commands and such but I haven't found the magic solution. Thanks.