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Theorems · Theorem · commutative algebra

Module.IsTorsionFree.isSMulRegular

∀ {R : Type u_1} {M : Type u_3} {inst : Semiring R} {inst_1 : AddCommMonoid M} {inst_2 : Module R M}
  [self : Module.IsTorsionFree R M] ⦃r : R⦄, IsRegular r → IsSMulRegular M r
Defined in
Mathlib.Algebra.Module.Torsion.Free
Cited by
1 results in Mathlib
Foundations
Depth 12 from the axioms · uses no axioms
Assumes
Module.IsTorsionFree
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Around this declaration

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IsRegular.isSMulRegular · cited by 6IsRegular.isSMulRegularModule · cited by 20661ModuleSemiring · cited by 13802SemiringAddCommMonoid · cited by 12281AddCommMonoidModule.IsTorsionFree · cited by 600Module.IsTorsionFreeIsSMulRegular · cited by 128IsSMulRegularIsRegular · cited by 116IsRegularIsTorsionFree.isSMulRegularCITED BYCITES

Cites6

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Cited by1

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