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math.RA2022
Abelian subalgebras and ideals of maximal dimension in Zinbiel algebras
Manuel Ceballos, David A. Towers
In this paper, we compare the abelian subalgebras and ideals of maximal dimension for finite-dimensional Zinbiel algebras. We study Zinbiel algebras containing maximal abelian suba…
math.RA2021
Abelian subalgebras and ideals of maximal dimension in Leibniz algebras
Manuel Ceballos, David A. Towers
In this paper, we compare the abelian subalgebras and ideals of maximal dimension for finite-dimensional Leibniz algebras. We study Leibniz algebras containing abelian subalgebras…
math.RA2019
Filiform Lie algebras with low derived length
F. J. Castro-Jiménez, M. Ceballos, J. Núñez
We construct, for any integer n greater than or equal to 5, a family of complex filiform Lie algebras with derived length at most 3 and dimension n. We also give examples of n-dime…