Suppose $I$ is an ideal in a formally equidimensional local ring $R.$ Let $A(I)$ and $\overline A(I)$ denote Ass$R/I^n$ and Ass$R/\overline{I^n}$ for all large $n$ respectively.
My question is
What are the sufficient conditions for $A(I)=\overline A(I)?$
I know that if $I$ is edge ideal then the above equality holds.
