Theorems · Definition · nonassociative algebras

NonUnitalSubalgebra.center

(R : Type u_1) →
  (A : Type u_2) →
    [inst : CommSemiring R] →
      [inst_1 : NonUnitalNonAssocSemiring A] →
        [inst_2 : Module R A] → [IsScalarTower R A A] → [SMulCommClass R A A] → NonUnitalSubalgebra R A

The center of a non-unital algebra is the set of elements which commute with every element. They form a non-unital subalgebra.

Defined in

Mathlib.Algebra.Algebra.NonUnitalSubalgebra

Cited by

8 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringNonUnitalNonAssocSemiringModuleIsScalarTowerSMulCommClass