Proposition 15.109.5 (0AW6): Ratliff

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Table of contents
Part 1: Preliminaries
Chapter 15: More on Algebra
Section 15.109: Formally catenary rings
Proposition 15.109.5: Ratliff (cite)

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[Ratliff]

Proposition 15.109.5 (Ratliff). A Noetherian local ring is universally catenary if and only if it is formally catenary.

Proof. Combine Lemmas 15.109.2 and 15.109.4. $\square$

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