Minimal prime ideal
= Minimal prime ideal
{wiki=Minimal_prime_ideal}
In the context of ring theory, a **minimal prime ideal** is a prime ideal \\( P \\) in a commutative ring \\( R \\) such that there are no other prime ideals contained within \\( P \\) except for \\( P \\) itself. In other words, \\( P \\) is a minimal element in the set of prime ideals of the ring with respect to inclusion.