Central factor of a Lie ring
This article describes a Lie subring property: a property that can be evaluated for a subring of a Lie ring
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VIEW RELATED: Lie subring property implications | Lie subring property non-implications | Lie subring metaproperty satisfactions | Lie subring metaproperty dissatisfactions | Lie subring property satisfactions |Lie subring property dissatisfactions
ANALOGY: This is an analogue in Lie ring of a property encountered in group. Specifically, it is a Lie subring property analogous to the subgroup property: central factor
View other analogues of central factor | View other analogues in Lie rings of subgroup properties (OR, View as a tabulated list)
- Every inner derivation of the whole Lie ring restricts to an inner derivation of the subring.
- The whole Lie ring is the sum of the subring and its centralizer.
Relation with other properties
Analogues in other algebraic structures
- Central factor in groups.