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