Theorems · Definition · linear algebra

Module.End.invtSubmodule

{R : Type u_1} →
  {M : Type u_2} →
    [inst : Semiring R] →
      [inst_1 : AddCommMonoid M] → [inst_2 : Module R M] → Module.End R M → Sublattice (Submodule R M)

Given an endomorphism, f of some module, this is the sublattice of all f-invariant submodules.

Defined in

Mathlib.Algebra.Module.Submodule.Invariant

Cited by

93 results in Mathlib

Foundations

Depth 65 from the axioms, rests on 894 definitions · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModule