Theorems · Theorem · commutative algebra

IsGaloisGroup.of_algEquiv

∀ (G : Type u_1) (A : Type u_2) (B : Type u_4) [inst : Group G] [inst_1 : CommSemiring A] [inst_2 : Semiring B]
  [inst_3 : Algebra A B] [inst_4 : MulSemiringAction G B] [hG : IsGaloisGroup G A B] (B' : Type u_5)
  [inst_5 : Semiring B'] [inst_6 : Algebra A B'] [inst_7 : MulSemiringAction G B'] (e : B ≃ₐ[A] B'),
  (∀ (g : G) (x : B), e (g • x) = g • e x) → IsGaloisGroup G A B'

Defined in

Mathlib.RingTheory.IsGaloisGroup.Defs

Cited by

0 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Quot.sound

Assumes

GroupCommSemiringSemiringAlgebraMulSemiringActionIsGaloisGroupSemiringAlgebraMulSemiringAction