Bourbaki

Exercise 3, § 8

Algebra, X, p. 202

Let n be an integer ⩾1\geqslant 1. Now prove that dh(Mn(A))=dh(A)\mathrm{dh}(M_n(A)) = \mathrm{dh}(A) (cf. VIII, § 4).

Solution

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Machine translation of the English, by gpt-5-6. Not checked by a person.