Ideal.IsPrime

{α : Type u} → [inst : Semiring α] → Ideal α → Prop

An ideal P of a ring R is prime if P ≠ R and xy ∈ P → x ∈ P ∨ y ∈ P

Defined in: Mathlib.RingTheory.Ideal.Prime
Cited by: 827 results in Mathlib
Foundations: Depth 15 from the axioms, rests on 127 definitions · uses no axioms
Assumes: Semiring

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