g/h] is an exponential factor for the polynomial differential system (1) and h is not a

constant polynomial, then h = 0 is an invariant algebraic surface.

by defining two linear operators C, D : Q[x] [right arrow] Q[x] that need to be substituted into the reverse of the cd-index and applied to the

constant polynomial 1.

b) The principal ideal I is generated by a

constant polynomial or a polynomial of the kind

n]] be a non

constant polynomial with an algebraically isolated singularity at the origin, such that [phi]([xi]) is globally nongenerate with respect [GAMMA]([phi]), and [beta]([phi]) > -1.

In the case where the number of

constant polynomials are more than one, the inequality (7) is not valid in general case.