CHIEF FACTORS COVERED BY PROJECTORS OF SOLUBLE LEIBNIZ ALGEBRAS

DONALD W. BARNES
2012 Bulletin of the Australian Mathematical Society  
Let F be a saturated formation of soluble Leibniz algebras. Let K be an F-projector and A/B a chief factor of the soluble Leibniz algebra L. It is well known that if A/B is F-central, then K covers A/B. I prove the converse: if K covers A/B, then A/B is F-central. 2010 Mathematics subject classification: primary 17A32, 17B30; secondary 20D10.
doi:10.1017/s0004972712000184 fatcat:bllc2b2panb75oglj4trt42txq