Theorems · Definition · commutative algebra

Subalgebra.LinearDisjoint

{R : Type u} →
  {S : Type v} →
    [inst : CommSemiring R] → [inst_1 : Semiring S] → [inst_2 : Algebra R S] → Subalgebra R S → Subalgebra R S → Prop

If A and B are subalgebras of S / R, then A and B are linearly disjoint, if they are linearly disjoint as submodules of S.

Defined in

Mathlib.RingTheory.LinearDisjoint

Cited by

75 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringAlgebra