Ideal property is not transitive for Lie rings
This article gives the statement, and possibly proof, of a Lie subring property (i.e., ideal of a Lie ring) not satisfying a Lie subring metaproperty (i.e., transitive Lie subring property).
View all Lie subring metaproperty dissatisfactions | View all Lie subring metaproperty satisfactions|Get help on looking up metaproperty (dis)satisfactions for Lie subring properties
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ANALOGY: This is an analogue in Lie rings of a fact encountered in group. The old fact is: normality is not transitive.
View other analogues of normality is not transitive|View other analogues from group to Lie ring (OR, View as a tabulated list)
Related facts about Lie rings
- Derivation-invariant subring of ideal implies ideal
- Left transiter of ideal is derivation-invariant subring
- Derivation-invariance is transitive
Analogues in other algebraic structures
- Normality is not transitive (for groups)