Theorems · Definition · nonassociative algebras

NonUnitalAlgebra.adjoin

(R : Type u) →
  {A : Type v} →
    [inst : CommSemiring R] →
      [inst_1 : NonUnitalNonAssocSemiring A] →
        [inst_2 : Module R A] → [IsScalarTower R A A] → [SMulCommClass R A A] → Set A → NonUnitalSubalgebra R A

The minimal non-unital subalgebra that includes s.

Defined in

Mathlib.Algebra.Algebra.NonUnitalSubalgebra

Cited by

33 results in Mathlib

Foundations

Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringNonUnitalNonAssocSemiringModuleIsScalarTowerSMulCommClass