Exercise 111.6.27 (02DG)—The Stacks project

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Table of contents
Part 9: Miscellany
Chapter 111: Exercises
Section 111.6: The Spectrum of a ring
Exercise 111.6.27 (cite)

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Exercise 111.6.27. Let $A$ be a nonzero ring. Show that $\mathop{\mathrm{Spec}}(A)$ is disconnected iff $A\cong B \times C$ for certain nonzero rings $B, C$ .

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