Theorems · Definition · commutative algebra

Units.mulLeftLinearEquiv

(R : Type u_9) →
  (A : Type u_10) →
    [inst : Semiring R] → [inst_1 : Semiring A] → [inst_2 : Module R A] → [SMulCommClass R A A] → Aˣ →* A ≃ₗ[R] A

Left multiplication by a unit of a semiring as a linear equivalence.

Defined in

Mathlib.Algebra.Module.Equiv.Basic

Cited by

9 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Quot.sound

Assumes

SemiringSemiringModuleSMulCommClass