Lie ring in which every characteristic subring is an ideal

This article defines a Lie ring property: a property that can be evaluated to true/false for any Lie ring.
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VIEW RELATED: Lie ring property implications | Lie ring property non-implications |Lie ring metaproperty satisfactions | Lie ring metaproperty dissatisfactions | Lie ring property satisfactions | Lie ring property dissatisfactions

Definition

A Lie ring in which every characteristic subring is an ideal is a Lie ring in which every characteristic subring is an ideal.

Relation with other properties

Stronger properties

• abelian Lie ring
• Lie ring in which every subring is an ideal
• Lie ring in which every characteristic subring is derivation-invariant