Bourbaki

Exercise 1, § 5

Commutative Algebra, VIII, p. 94

Let AA be a ring, SS a multiplicative subset of AA. Prove that one has dh(S−1A)≤dh(A)\mathrm{dh}(S^{-1}A) \leq \mathrm{dh}(A) (A, X, p. 138, def.

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