Theorems · Definition · ring theory

selfAdjoint.submodule

(R : Type u_1) →
  (A : Type u_2) →
    [inst : Semiring R] →
      [inst_1 : StarMul R] →
        [TrivialStar R] →
          [inst_3 : AddCommGroup A] →
            [inst_4 : Module R A] → [inst_5 : StarAddMonoid A] → [StarModule R A] → Submodule R A

The self-adjoint elements of a star module, as a submodule.

Defined in

Mathlib.Algebra.Star.Module

Cited by

9 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext, Quot.sound

Assumes

SemiringStarMulTrivialStarAddCommGroupModuleStarAddMonoidStarModule