Abelian ideal
Template:Lie ring-subring property conjunction
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: {{{old property}}}Property "Analogue of" (as page type) with input value "{{{old property}}}" contains invalid characters or is incomplete and therefore can cause unexpected results during a query or annotation process.
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Definition
An abelian ideal in a Lie ring is an ideal that is abelian as a Lie ring with the induced Lie bracket.