= Radical of a module
{wiki=Radical_of_a_module}
In the context of modules over a ring, the term "radical" can refer to several concepts, but one common interpretation is the **Jacobson radical** of a module. The Jacobson radical has important implications for the structure and properties of a module. \#\#\# Jacobson Radical The Jacobson radical \\( \\text\{Rad\}(M) \\) of a module \\( M \\) over a ring \\( R \\) is defined as the intersection of all maximal submodules of \\( M \\).
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