Characteristic subgroup of additive group of a Lie ring

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Template:Lie ring subset property

=Definition

Suppose L is a Lie ring and S is a subset of L. We say that S is a characteristic subgroup of (the) additive group of L if S is a characteristic subgroup of the abelian group defined as the underlying additive group of L.

Relation with other properties

Stronger properties

Property Meaning Proof of implication Proof of strictness (reverse implication failure) Intermediate notions
fully invariant subgroup of additive group of a Lie ring |FULL LIST, MORE INFO

Weaker properties

Property Meaning Proof of implication Proof of strictness (reverse implication failure) Intermediate notions
subgroup of additive group of a Lie ring |FULL LIST, MORE INFO