Theorems · Definition · nonassociative algebras

LieModule.maxNilpotentSubmodule

(R : Type u) →
  (L : Type v) →
    (M : Type w) →
      [inst : CommRing R] →
        [inst_1 : LieRing L] →
          [inst_2 : AddCommGroup M] → [inst_3 : Module R M] → [inst_4 : LieRingModule L M] → LieSubmodule R L M

The max nilpotent submodule is the sSup of all nilpotent submodules.

Defined in

Mathlib.Algebra.Lie.Nilpotent

Cited by

2 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingAddCommGroupModuleLieRingModule