All Questions

Suppose $I$ is an ideal in a Noetherian local ring $(R,m)$. In some papers I have seen the following statement: "$a\in I$ is a general element of $I$". What is the definition of general element ...

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 ...