Jacobson–Bourbaki theorem
= Jacobson–Bourbaki theorem
{wiki=Jacobson–Bourbaki_theorem}
The Jacobson–Bourbaki theorem is a result in the field of algebra, specifically in the theory of rings and algebras. It provides a characterization of the Jacobson radical of a ring in terms of the ideal structure of that ring. The theorem can be stated as follows: Let \\( R \\) be a commutative ring with unity, and let \\( \\mathfrak\{m\} \\) be a maximal ideal of \\( R \\).