Theorems · Definition · ring theory

Subalgebra.toSubmodule

{R : Type u} →
  {A : Type v} →
    [inst : CommSemiring R] → [inst_1 : Semiring A] → [inst_2 : Algebra R A] → Subalgebra R A ↪o Submodule R A

The forgetful map from Subalgebra to Submodule as an OrderEmbedding

Defined in

Mathlib.Algebra.Algebra.Subalgebra.Basic

Cited by

141 results in Mathlib

Foundations

Depth 29 from the axioms, rests on 318 definitions · uses propext, Quot.sound

Assumes

CommSemiringSemiringAlgebra