Chief factors covered by projectors of soluble Leibniz algebras

Details Chief factors covered by projectors of soluble Leibniz algebras Chief factors covered by projectors of soluble Leibniz algebras

2011-10-10

arxiv.org/abs/1110.1932v1

Mathematics

Rings and Algebras

2 pages

Scientific paper

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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