Definition:Null Ideal
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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 $R$.
Sources
- 1965: Seth Warner: Modern Algebra ... (previous) ... (next): Chapter $\text {IV}$: Rings and Fields: $22$. New Rings from Old