Canonically Lazard-dividable Lie ring

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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
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Definition

A Lie ring is termed a canonically Lazard-dividable Lie ring if there exists a Lazard-divided Lie ring structure with the Lie ring as underlying Lie ring, such that all the Lazard division operations are invariant under all automorphisms of the Lie ring.

The corresponding Lazard-divided Lie ring is termed a canonically 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

Weaker properties

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