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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
A Lie ring is termed a LUCS-Baer Lie ring if it is a Lie ring of nilpotency class two (i.e., the derived subring is contained in the center) and:
- Every element of its derived subring has a unique half in the whole Lie ring.
- Every element of its derived subring has a unique half among the elements in the center of the whole Lie ring.
- Every element of its derived subring has a unique half among the elements in the Lie ring and that unique half is in the center.
Relation with other properties