Free Centre-by-nilpotent-by-abelian Lie Rings

Abstract

We study the free Lie ring of rank 2 in the variety of all centreby-nilpotent-by-abelian Lie rings of derived length 3. This is the quotient L/([γc(L′), L] + L′′′) with c > 2 where L is the free Lie ring of rank 2, γc(L′) is the c-th term of the lower central series of the derived ideal L′ of L, and L′′′ is the third term of the derived series of L. We show… (More)

Cite this paper

@inproceedings{Alexandrou2017FreeCL, title={Free Centre-by-nilpotent-by-abelian Lie Rings}, author={Maria K Alexandrou and Ralph St{\"{o}hr}, year={2017} }