Exercise 22, § 4
Commutative Algebra, IX, p. 82
Let be a noetherian ring, an ideal of distinct from . Suppose that is separated and complete for the -adic topology, and that is a Nagata ring. Then every ring of restricted formal power series in a finite number of indeterminates is a Nagata ring. (Use III, § 4, Exercise 7, and Exercises 20 and 21 above.)
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