Lazard-dividable Lie ring

From Groupprops

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This article defines a Lie ring property: a property that can be evaluated to true/false for any Lie ring.
View a complete list of properties of Lie rings
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 is termed Lazard-dividable if it occurs as the underlying Lie ring of a Lazard-divided Lie ring.

Relation with other properties

Stronger properties

Property Meaning Proof of implication Proof of strictness (reverse implication failure) Intermediate notions
uniquely Lazard-dividable Lie ring |FULL LIST, MORE INFO
canonically Lazard-dividable Lie ring |FULL LIST, MORE INFO