Metabelian Lie ring
This article defines a Lie ring property: a property that can be evaluated to true/false for any Lie ring.
View a complete list of properties of Lie rings
VIEW RELATED: Lie ring property implications | Lie ring property non-implications |Lie ring metaproperty satisfactions | Lie ring metaproperty dissatisfactions | Lie ring property satisfactions | Lie ring property dissatisfactions
|No.||A Lie ring is termed metabelian if ...||A Lie ring is termed metabelian if ...|
|1||its derived subring is abelian||its derived subring is an abelian Lie ring|
|2||it has an abelian ideal with abelian quotient ring||there is an abelian ideal of such that the quotient ring is abelian|
|3||its second derived subring is zero||. In other words, for all|