Theorems · Definition · ring theory

Subalgebra.topEquiv

{R : Type u} → {A : Type v} → [inst : CommSemiring R] → [inst_1 : Semiring A] → [inst_2 : Algebra R A] → ↥⊤ ≃ₐ[R] A

The top subalgebra is isomorphic to the algebra. This is the algebra version of Submodule.topEquiv.

Defined in

Mathlib.Algebra.Algebra.Subalgebra.Lattice

Cited by

9 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringAlgebra