Baer Lie ring
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This article defines a Lie ring property: a property that can be evaluated to true/false for any Lie ring.
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A Baer Lie ring is a Lie ring satisfying the following two conditions:
- is a nilpotent Lie ring and has nilpotency class at most two. In other words, is an abelian Lie ring, where is the center of .
- The additive group of is powered over the prime 2. In other words, is uniquely 2-divisible, i.e., for every , there is a unique element such that , where means .
A Baer Lie ring is a Lie ring that can participate as the Lie ring side of a Baer correspondence.