Symbolic power of an ideal

Given a ring R and a prime ideal p in it, the 'n-th symbolic power of p is the ideal

Failed to parse (syntax error): {\displaystyle p^{(n) = p^n R_p \cap R = \{ f \in R | sf \in p^n \text{ for some }s \in R - p \}.}

If p is a maximal ideal, then $p^{n}=p^{(n)}$.

References

• http://www.math.lsa.umich.edu/~hochster/711F07/L09.07.pdf