Suppose $R$ is a regular local ring. If $I$ is ideal of height strictly larger than $h$, does $I$ contain a height $h$ prime ideal?
I’m particularly interested in the case of mixed characteristic complete rings.
Suppose $R$ is a regular local ring. If $I$ is ideal of height strictly larger than $h$, does $I$ contain a height $h$ prime ideal?
I’m particularly interested in the case of mixed characteristic complete rings.