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 subgroup of (the) additive group of L if S is a subgroup of the abelian group obtained by taking the 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 Characteristic subgroup of additive group of a Lie ring|FULL LIST, MORE INFO
characteristic subgroup of additive group of a Lie ring |FULL LIST, MORE INFO