A Folklore Theorem in Commutative Algebra

**Abstract:**

Integral extensions have properties called Lying Over and
Incomparabilty established by Cohen and Seidenberg. I will
present a folklore theorem I learned of in work by David Dobbs. It
shows that under certain lying over and incomparable conditions,
integrality holds. I follow a proof by Dobbs which uses the idea of
primitive elements ie ones whose content is the whole ring.