Characteristic Lie subring not implies ideal: Difference between revisions
(Created page with "{{analogue breakdown of fact| old generic context = group| new generic context = Lie ring| old fact = characteristic implies normal}} ==Statement== A characteristic subring...") |
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==Related facts== | ==Related facts== | ||
===Similar facts=== | |||
* [[Characteristic not implies derivation-invariant]] | * [[Characteristic not implies derivation-invariant]] | ||
* [[Derivation-invariant not implies characteristic]] | * [[Derivation-invariant not implies characteristic]] | ||
===Opposite facts=== | |||
* [[Characteristic subring implies ideal in Lazard Lie ring]] | |||
===Analogues in other algebraic structures=== | ===Analogues in other algebraic structures=== | ||
Revision as of 06:37, 21 August 2011
ANALOGY BREAKDOWN: This is the breakdown of the analogue in Lie rings of a fact encountered in group. The old fact is: characteristic implies normal.
View other analogue breakdowns of characteristic implies normal|View other analogue breakdowns from group to Lie ring
Statement
A characteristic subring of a Lie ring need not be an ideal of the Lie ring.