Mathlib Map

Theorems · Definition · commutative algebra

Ideal.map

{R : Type u} →
  {S : Type v} → {F : Type u_1} → [inst : Semiring R] → [inst_1 : Semiring S] → [FunLike F R S] → F → Ideal R → Ideal S

I.map f is the span of the image of the ideal I under f, which may be bigger than the image itself.

Defined in
Mathlib.RingTheory.Ideal.Maps
Cited by
692 results in Mathlib
Foundations
Depth 19 from the axioms, rests on 192 definitions · uses propext, Quot.sound
Assumes
SemiringSemiringFunLike

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