Characteristic subgroup of additive group of a Lie ring
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Template:Lie ring subset property
Contents
=Definition
Suppose is a Lie ring and
is a subset of
. We say that
is a characteristic subgroup of (the) additive group of
if
is a characteristic subgroup of the abelian group defined as the underlying additive group of
.
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 |