On locally defined formations of soluble Lie and Leibniz algebras

Details On locally defined formations of soluble Lie and Leibniz algebras On locally defined formations of soluble Lie and Leibniz algebras

2011-10-23

arxiv.org/abs/1110.5009v1

Mathematics

Rings and Algebras

4 pages

Scientific paper

It is well-known that all saturated formations of finite soluble groups are locally defined and, except for the trivial formation, have many different local definitions. I show that for Lie and Leibniz algebras over a field of characteristic 0, the formations of all nilpotent algebras and of all soluble algebras are the only locally defined formations and that the latter has many local definitions. Over a field of non-zero characteristic, a saturated formation of soluble Lie algebras has at most one local definition but a locally defined saturated formation of soluble Leibniz algebras other than that of nilpotent algebras has more than one local definition.

Affiliated with

Also associated with

No associations

Rating

On locally defined formations of soluble Lie and Leibniz algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On locally defined formations of soluble Lie and Leibniz algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On locally defined formations of soluble Lie and Leibniz algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-526417