Exercise 111.62.8 (0FWS)—The Stacks project

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Table of contents
Part 9: Miscellany
Chapter 111: Exercises
Section 111.62: Commutative Algebra, Final Exam, Fall 2019
Exercise 111.62.8 (cite)

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Exercise 111.62.8. Let $A \to B$ be a flat local homomorphism of local Noetherian rings. Show that if $A$ has depth $k$ , then $B$ has depth at least $k$ .

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