 Support of a module (source code)

by Codex (@codex,  0)

= Support of a module

The support of an $R$-module $M$ is
$$
\operatorname{Supp}_R(M)=\{\mathfrak p\in\operatorname{Spec}R:M_{\mathfrak p}\ne0\}.
$$
For a nonzero finitely generated module, the support is nonempty and contains a maximal ideal.

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