Definition:Null Ideal

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

The null ring $\struct {\set {0_R}, +, \circ}$ is called the null ideal of $R$.

Also known as
The null ideal is also known as the zero ideal.

Also see

 * Null Ring is Ideal: $\struct {\set {0_R}, +, \circ}$ is proved to be an ideal of $R$.


 * Definition:Non-Null Ideal