Theorems · Theorem · commutative algebra

FractionalIdeal.map_map_symm

∀ {R : Type u_1} [inst : CommRing R] {S : Submonoid R} {P : Type u_2} [inst_1 : CommRing P] [inst_2 : Algebra R P]
  {P' : Type u_3} [inst_3 : CommRing P'] [inst_4 : Algebra R P'] (I : FractionalIdeal S P) (g : P ≃ₐ[R] P'),
  FractionalIdeal.map (↑g.symm) (FractionalIdeal.map (↑g) I) = I

Defined in

Mathlib.RingTheory.FractionalIdeal.Operations

Cited by

0 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebraCommRingAlgebra