Abelian ideal
From Groupprops
Template:Lie ring-subring property conjunction
ANALOGY: This is an analogue in Lie ring of a property encountered in group. Specifically, it is a Lie subring property analogous to the subgroup property: abelian normal subgroup
View other analogues of abelian normal subgroup | View other analogues in Lie rings of subgroup properties (OR, View as a tabulated list)
Contents
Definition
An abelian ideal in a Lie ring is an ideal that is abelian as a Lie ring with the induced Lie bracket.