Theorems · Definition · nonassociative algebras

NonUnitalAlgHomClass

(F : Type u_1) →
  (R : outParam (Type u_2)) →
    (A : outParam (Type u_3)) →
      (B : outParam (Type u_4)) →
        [inst : Monoid R] →
          [inst_1 : NonUnitalNonAssocSemiring A] →
            [inst_2 : NonUnitalNonAssocSemiring B] →
              [DistribMulAction R A] → [DistribMulAction R B] → [FunLike F A B] → Prop

NonUnitalAlgHomClass F R A B asserts F is a type of bundled algebra homomorphisms from A to B which are R-linear. This is an abbreviation to NonUnitalAlgSemiHomClass F (MonoidHom.id R) A B

Defined in

Mathlib.Algebra.Algebra.NonUnitalHom

Cited by

75 results in Mathlib

Foundations

Depth 7 from the axioms · uses no axioms

Assumes

MonoidNonUnitalNonAssocSemiringNonUnitalNonAssocSemiringDistribMulActionDistribMulActionFunLike