This article describes a Lie subring property: a property that can be evaluated for a subring of a Lie ring
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VIEW RELATED: Lie subring property implications | Lie subring property non-implications | Lie subring metaproperty satisfactions | Lie subring metaproperty dissatisfactions | Lie subring property satisfactions |Lie subring property dissatisfactions
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: central subgroup
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A subset of a Lie ring is termed a central ideal if it satisfies the following equivalent conditions:
- It is a subgroup of the additive group and is contained in the center of the Lie ring.
- It is a subring and is contained in the center of the Lie ring.
- It is an ideal and is contained in the center of the Lie ring.