Simple module over a commutative ring
= Simple module over a commutative ring
Every simple module over a commutative ring $R$ is isomorphic to $R/\mathfrak m$ for a maximal ideal $\mathfrak m$; its annihilator is therefore maximal.
= Simple module over a commutative ring
Every simple module over a commutative ring $R$ is isomorphic to $R/\mathfrak m$ for a maximal ideal $\mathfrak m$; its annihilator is therefore maximal.