Theorems · Theorem · commutative algebra

Algebra.IsInvariant.isInvariant

∀ {A : Type u_1} {B : Type u_2} {G : Type u_3} {inst : CommSemiring A} {inst_1 : Semiring B} {inst_2 : Algebra A B}
  {inst_3 : Group G} {inst_4 : MulSemiringAction G B} [self : Algebra.IsInvariant A B G] (b : B),
  (∀ (g : G), g • b = b) → ∃ a, (algebraMap A B) a = b

Defined in

Mathlib.RingTheory.Invariant.Defs

Cited by

15 results in Mathlib

Foundations

Depth 16 from the axioms · uses no axioms

Assumes

Algebra.IsInvariant