Definition 10.40.1 (00L1)—The Stacks project

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Definition 10.40.1. Let $R$ be a ring and let $M$ be an $R$ -module. The support of $M$ is the set

$\text{Supp}(M) = \{ \mathfrak p \in \mathop{\mathrm{Spec}}(R) \mid M_{\mathfrak p} \not= 0 \}$

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