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In \\cite{Ra1}, Ratliff showed that the sequence of sets ${\\rm Ass}_RR/\\bar{I}\\subseteq {\\rm Ass}_RR/\\bar{I^2} \\subseteq {\\rm Ass}_R R/\\bar{I^3}\\subseteq \\dots $ increases and eventually stabilizes to a set denoted $\\bar{A^\\ast}(I)$. In \\cite{Mc2}, S. McAdam gave an interesting description of $\\bar{A^\\ast}(I)$ by making use of $R[It,t^{-1}]$, the Rees ring of $I$. 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