Theorems · Theorem · nonassociative algebras

LieAlgebra.hasCentralRadical_iff

∀ (R : Type u_1) (L : Type u_2) [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L],
  LieAlgebra.HasCentralRadical R L ↔ LieAlgebra.radical R L = LieAlgebra.center R L

Defined in

Mathlib.Algebra.Lie.Semisimple.Defs

Cited by

1 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebra