CEBALLOS GONZÁLEZ, MANUEL, Towers, David A.

No

Mediterr. J. Math.

Article

Científica

✓

✗

1.1

0.604

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85147441990&doi=10.1007%2fs00009-023-02306-4&partnerID=40&md5=83879dd7334281fea2d81a8a39fdf92c

01/04/2023

000926227500003

2-s2.0-85147441990

10.1007/s00009-023-02306-4

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 of codimension 1, solvable and supersolvable Leibniz algebras for codimensions 1 and 2, nilpotent Leibniz algebras in case of codimension 2, and we also analyze the case of k-abelian p-filiform Leibniz algebras. Throughout the paper, we also give examples to clarify some results and the need for restrictions on the underlying field.

Leibniz algebra; abelian subalgebra; abelian ideal; solvable; nilpotent

• MANUEL CEBALLOS GONZÁLEZ