  We characterize ideals whose adjoints are determined by their Rees
valuations. We generalize the notion of a regular system of parameters, and
prove that for ideals generated by monomials in such elements, the integral
closure and adjoints are generated by monomials. We prove that the adjoints of
such ideals and of all ideals in two-dimensional regular local rings are
determined by their Rees valuations. We prove special cases of subadditivity of
adjoints.
