CEBALLOS GONZÁLEZ, MANUEL, Towers, David A.
No
Commun. Algebra
Article
Científica
0.7
0.642
20/10/2022
000870684200001
2-s2.0-85140822859
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 subalgebras of codimension 1 and supersolvable Zinbiel algebras in which such subalgebras have codimension 2, and we also analyze the case of filiform Zinbiel algebras. We give examples to clarify some results, including listing the values for alpha and beta for the low dimensional Zinbiel algebras over the complex field that have been classified. Communicated by Alberto Elduque
Abelian ideal; abelian subalgebra; nilpotent; solvable; supersolvable; Zinbiel algebra