https://groupprops.subwiki.org/w/index.php?action=history&feed=atom&title=Characteristicity_is_transitive_for_Lie_ringsCharacteristicity is transitive for Lie rings - Revision history2026-08-10T02:12:11ZRevision history for this page on the wikiMediaWiki 1.41.2https://groupprops.subwiki.org/w/index.php?title=Characteristicity_is_transitive_for_Lie_rings&diff=19411&oldid=prevVipul: Created page with '{{Lie subring metaproperty satisfaction| property = characteristic subring of a Lie ring| metaproperty = transitive Lie subring property}} {{analogue of fact| old generic context…'2009-07-20T19:10:42Z<p>Created page with '{{Lie subring metaproperty satisfaction| property = characteristic subring of a Lie ring| metaproperty = transitive Lie subring property}} {{analogue of fact| old generic context…'</p>
<p><b>New page</b></p><div>{{Lie subring metaproperty satisfaction|<br />
property = characteristic subring of a Lie ring|<br />
metaproperty = transitive Lie subring property}}<br />
{{analogue of fact|<br />
old generic context = group|<br />
new generic context = Lie ring|<br />
old fact = characteristicity is transitive|<br />
alternative analogue = derivation-invariance is transitive}}<br />
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==Statement==<br />
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If <math>A \le B \le L</math> are [[Lie ring]]s such that <math>A</math> is a [[characteristic subring of a Lie ring|characteristic subring]] of <math>B</math> and <math>B</math> is a characteristic subring of <math>L</math>, then <math>A</math> is a characteristic subring of <math>L</math>.<br />
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==Related facts==<br />
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* [[Derivation-invariance is transitive]]<br />
* [[Derivation-invariant subring of ideal implies ideal]]</div>Vipul