# support

The $\operatorname{Supp}(M)$ of a module $M$ over a ring $R$ is the set of all prime ideals ${\mathfrak{p}}\subset R$ such that the localization $M_{\mathfrak{p}}$ is nonzero.

The maximal support $\operatorname{Supp}_{m}(M)$ of a module $M$ over a ring $R$ is the set of all maximal ideals ${\mathfrak{m}}\subset R$ such that $M_{\mathfrak{m}}$ is nonzero.

Title support Support 2013-03-22 12:10:22 2013-03-22 12:10:22 djao (24) djao (24) 6 djao (24) Definition msc 16D10 msc 13C99