Theorems · Definition · commutative algebra

IsDedekindDomain.primesOverFinset

{A : Type u_4} →
  [inst : CommRing A] →
    Ideal A → (B : Type u_5) → [inst_1 : CommRing B] → [IsDedekindDomain B] → [Algebra A B] → Finset (Ideal B)

The finite set of all prime factors of the pushforward of p.

Defined in

Mathlib.RingTheory.DedekindDomain.Ideal.Lemmas

Cited by

11 results in Mathlib

Foundations

Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingIsDedekindDomainAlgebra