Homomorph-containing subgroup of additive group of Lie ring is self-derivation-invariant and homomorph-containing
Revision as of 23:28, 25 June 2009 by Vipul (Created page with '==Statement== Suppose <math>L</math> is a Lie ring, and <math>A</math> is a subgroup of the additive group of <math>L</math> such that <math>A</math> is a [[homomorph-containing...')
Suppose is a Lie ring, and is a subgroup of the additive group of such that is a homomorph-containing subgroup of . Then, the following three conditions hold:
- is a Lie subring of .
- is a self-derivation-invariant Lie subring of .
- is a homomorph-containing Lie subring of .