Theorems · Definition · ring theory

StarSubalgebra.map

{R : Type u_2} →
  {A : Type u_3} →
    {B : Type u_4} →
      [inst : CommSemiring R] →
        [inst_1 : StarRing R] →
          [inst_2 : Semiring A] →
            [inst_3 : StarRing A] →
              [inst_4 : Algebra R A] →
                [inst_5 : StarModule R A] →
                  [inst_6 : Semiring B] →
                    [inst_7 : StarRing B] →
                      [inst_8 : Algebra R B] →
                        [inst_9 : StarModule R B] → (A →⋆ₐ[R] B) → StarSubalgebra R A → StarSubalgebra R B

Transport a star subalgebra via a star algebra homomorphism.

Defined in

Mathlib.Algebra.Star.Subalgebra

Cited by

24 results in Mathlib

Foundations

Depth 27 from the axioms · uses no axioms

Assumes

CommSemiringStarRingSemiringStarRingAlgebraStarModuleSemiringStarRingAlgebraStarModule