Definition:Non-Null Ideal

Definition
Let $\struct {R, +, \circ}$ be a ring whose zero is $0_R$.

Let $J$ be an ideal of $R$ such that $J \ne \set {0_R}$.

Then $J$ is a non-null ideal of $R$.

Also known as
A non-null ideal is also known as a non-zero ideal.

Also see

 * Definition:Null Ideal