Theorems · Definition · nonassociative algebras

LieSubmodule.ucs

{R : Type u} →
  {L : Type v} →
    {M : Type w} →
      [inst : CommRing R] →
        [inst_1 : LieRing L] →
          [inst_2 : LieAlgebra R L] →
            [inst_3 : AddCommGroup M] →
              [inst_4 : Module R M] →
                [inst_5 : LieRingModule L M] → [LieModule R L M] → ℕ → LieSubmodule R L M → LieSubmodule R L M

The upper (aka ascending) central series. See also LieSubmodule.lcs.

Defined in

Mathlib.Algebra.Lie.Nilpotent

Cited by

21 results in Mathlib

Foundations

Depth 21 from the axioms · uses propext

Assumes

CommRingLieRingLieAlgebraAddCommGroupModuleLieRingModuleLieModule