Exercise 111.26.7 (02E5)—The Stacks project

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Part 9: Miscellany
Chapter 111: Exercises
Section 111.26: Hilbert functions
Exercise 111.26.7 (cite)

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Exercise 111.26.7. Suppose that $A$ is Noetherian. Show that the kernel of a map of locally finite graded $A$ -modules is locally finite.

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