Hence, p must contain some associated prime ideal p' of fB.
r] a primary decomposition of N in M with associated prime ideals [Mathematical Expression Omitted].
r] be a primary decomposition with associated prime ideals [p.
An ideal I of M is contracted with respect to the A-adic topology T if and only if A + P [not equal to] M holds for every associated prime ideal P of I.
When R is Noetherian, every prime ideal has finite height and the height of an arbitrary ideal is defined to be the minimum of the heights of its associated prime ideals.