Theorems · Definition · nonassociative algebras

NonUnitalSubalgebra.comap

{F : Type v'} →
  {R : Type u} →
    {A : Type v} →
      {B : Type w} →
        [inst : CommSemiring R] →
          [inst_1 : NonUnitalNonAssocSemiring A] →
            [inst_2 : NonUnitalNonAssocSemiring B] →
              [inst_3 : Module R A] →
                [inst_4 : Module R B] →
                  [inst_5 : FunLike F A B] →
                    [NonUnitalAlgHomClass F R A B] → F → NonUnitalSubalgebra R B → NonUnitalSubalgebra R A

Preimage of a non-unital subalgebra under an algebra homomorphism.

Defined in

Mathlib.Algebra.Algebra.NonUnitalSubalgebra

Cited by

5 results in Mathlib

Foundations

Depth 19 from the axioms · uses no axioms

Assumes

CommSemiringNonUnitalNonAssocSemiringNonUnitalNonAssocSemiringModuleModuleFunLikeNonUnitalAlgHomClass