support
Support
2002-01-06 05:43:15
2002-01-26 02:45:38
Definition
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The {\em support} $\Supp(M)$ of a module $M$ over a ring $R$ is the set of all prime ideals $\p \subset R$ such that the localization $M_\p$ is nonzero.
The {\em maximal support} $\Supp_m(M)$ of a module $M$ over a ring $R$ is the set of all maximal ideals $\m \subset R$ such that $M_\m$ is nonzero.