Theorems · Theorem · commutative algebra

Submodule.coe_torsion_eq_annihilator_ne_bot

∀ {R : Type u_1} {M : Type u_2} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  [NoZeroDivisors R] [Nontrivial R], ↑(Submodule.torsion R M) = {x | (R ∙ x).annihilator ≠ ⊥}

Defined in

Mathlib.Algebra.Module.Torsion.Basic

Cited by

0 results in Mathlib

Foundations

Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidModuleNoZeroDivisorsNontrivial