| Title |
Abelian Subalgebras and Ideals of Maximal Dimension in Solvable Leibniz Algebras |
| Authors |
CEBALLOS GONZÁLEZ, MANUEL, Towers, David A. |
| External publication |
No |
| Means |
Mediterr. J. Math. |
| Scope |
Article |
| Nature |
Científica |
| JCR Quartile |
2 |
| SJR Quartile |
2 |
| Web |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85147441990&doi=10.1007%2fs00009-023-02306-4&partnerID=40&md5=83879dd7334281fea2d81a8a39fdf92c |
| Publication date |
01/04/2023 |
| ISI |
000926227500003 |
| Scopus Id |
2-s2.0-85147441990 |
| DOI |
10.1007/s00009-023-02306-4 |
| Abstract |
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. |
| Keywords |
Leibniz algebra; abelian subalgebra; abelian ideal; solvable; nilpotent |
| Universidad Loyola members |
|
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