Theorems · Definition · ring theory

Subalgebra.opEquiv

{R : Type u_2} →
  {A : Type u_3} →
    [inst : CommSemiring R] → [inst_1 : Semiring A] → [inst_2 : Algebra R A] → Subalgebra R A ≃o Subalgebra R Aᵐᵒᵖ

A subalgebra S of A / R determines a subalgebra S.op of the opposite ring Aᵐᵒᵖ / R.

Defined in

Mathlib.Algebra.Algebra.Subalgebra.MulOpposite

Cited by

18 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringAlgebra