Before revision:  This allows us to represent the generators of a steady state ideal as sums of binomials, which yields a corresponding coefficient matrix.
After revision:  This leads us to the concept of unconditional binomiality, meaning binomiality for all values of the rate constants. This concept is different from conditional binomiality that applies when rate constant values or relations among rate constants are given. We start by representing the generators of a steady state ideal as sums of binomials, which yields a corresponding coefficient matrix.