Abelian ideal

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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)

Definition

An abelian ideal in a Lie ring is an ideal that is abelian as a Lie ring with the induced Lie bracket.

Relation with other properties

Stronger properties

Weaker properties