Definition:Prime Ideal of Ring/Commutative and Unitary Ring/Definition 1
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Definition
Let $\struct {R, +, \circ}$ be a commutative and unitary ring.
A prime ideal of $R$ is a proper ideal $P$ such that:
- $\forall a, b \in R : a \circ b \in P \implies a \in P$ or $b \in P$