Metacyclic Lie ring

This article defines a Lie ring property: a property that can be evaluated to true/false for any Lie ring.
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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

Definition

A Lie ring is termed a metacyclic Lie ring if it contains a cyclic ideal such that the quotient Lie ring is also a cyclic Lie ring.