(1,2)-Engel-type 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 (1,2)-Engel-type Lie ring is a Lie ring of given right-normed Engel-type signature . Explicitly, a Lie ring is a (1,2)-Engel-type Lie ring if:
![{\displaystyle [x,[y,[y,z]]]=0\ \forall \ x,y,z\in L}](https://wikimedia.org/api/rest_v1/media/math/render/svg/f1b2479fe332ee360559cb2c551a7f06ac4b3b82)