Theorems · Definition · linear algebra

Submodule.pointwiseSetMulAction

{R : Type u_2} →
  {M : Type u_3} →
    [inst : Semiring R] →
      [inst_1 : AddCommMonoid M] → [inst_2 : Module R M] → [SMulCommClass R R M] → MulAction (Set R) (Submodule R M)

A subset of a ring R has a multiplicative action on submodules of a module over R.

Defined in: Mathlib.Algebra.Module.Submodule.Finsupp
Cited by: 0 results in Mathlib
Foundations: Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Semiring AddCommMonoid Module SMulCommClass

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Setstatement · cited by 53,352
Modulestatement and proof · cited by 20,661
Semiringstatement and proof · cited by 13,802
AddCommMonoidstatement and proof · cited by 12,281
Submodulestatement · cited by 7,192
SMulCommClassstatement and proof · cited by 1,927
MulActionstatement · cited by 1,294
Set.monoidstatement · cited by 19

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