Chief factors covered by projectors of soluble Leibniz algebras

2011/10/10 by Donald W. Barnes, Barnes, Donald W.
Mathematics · #17A32 #17B30 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:17A32 #msc:17B30

paper · pdf · doi:10.48550/arxiv.1110.1932

2 pages

arxiv created 2011/10/10 · arxiv updated 2011/10/11

Abstract

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.

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