Theorems · Definition · nonassociative algebras

NonUnitalSubalgebra.toNonUnitalSubring

{R : Type u} →
  {A : Type v} →
    [inst : CommRing R] →
      [inst_1 : NonUnitalNonAssocRing A] → [inst_2 : Module R A] → NonUnitalSubalgebra R A → NonUnitalSubring A

A non-unital subalgebra over a ring is also a Subring.

Defined in

Mathlib.Algebra.Algebra.NonUnitalSubalgebra

Cited by

9 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext

Assumes

CommRingNonUnitalNonAssocRingModule