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Theorems · Theorem · commutative algebra

Subalgebra.linearDisjoint_comm

∀ {R : Type u} {S : Type v} [inst : CommSemiring R] [inst_1 : CommSemiring S] [inst_2 : Algebra R S]
  {A B : Subalgebra R S}, A.LinearDisjoint B ↔ B.LinearDisjoint A

Linear disjointness is symmetric in a commutative ring.

Defined in
Mathlib.RingTheory.LinearDisjoint
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Foundations
Depth 65 from the axioms · uses propext, Quot.sound
Assumes
CommSemiringCommSemiringAlgebra
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Algebra · cited by 11388AlgebraCommSemiring · cited by 10911CommSemiringSubalgebra · cited by 1353SubalgebraSubalgebra.LinearDisjoint · cited by 75Subalgebra.LinearDisjointSubalgebra.LinearDisjoint.symm · cited by 7LinearDisjoint.symmSubalgebra.linearDisjoint_commCITED BYCITES

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