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Abelian subalgebras and ideals of maximal dimension in solvable Leibniz algebras

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Abelian subalgebras and ideals of maximal dimension in solvable Leibniz algebras. / Ceballos, Manuel; Towers, David.
In: Mediterranean Journal of Mathematics, Vol. 20, No. 2, 97, 03.02.2023.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Ceballos, M & Towers, D 2023, 'Abelian subalgebras and ideals of maximal dimension in solvable Leibniz algebras', Mediterranean Journal of Mathematics, vol. 20, no. 2, 97. https://doi.org/10.1007/s00009-023-02306-4

APA

Ceballos, M., & Towers, D. (2023). Abelian subalgebras and ideals of maximal dimension in solvable Leibniz algebras. Mediterranean Journal of Mathematics, 20(2), Article 97. https://doi.org/10.1007/s00009-023-02306-4

Vancouver

Ceballos M, Towers D. Abelian subalgebras and ideals of maximal dimension in solvable Leibniz algebras. Mediterranean Journal of Mathematics. 2023 Feb 3;20(2):97. doi: 10.1007/s00009-023-02306-4

Author

Ceballos, Manuel ; Towers, David. / Abelian subalgebras and ideals of maximal dimension in solvable Leibniz algebras. In: Mediterranean Journal of Mathematics. 2023 ; Vol. 20, No. 2.

Bibtex

@article{ffdcab4737df49daa9e2b6a294b6a5a3,
title = "Abelian subalgebras and ideals of maximal dimension in solvable Leibniz algebras",
abstract = "In this paper, we compare the abelian subalgebras and ideals ofmaximal dimension for finite-dimensional Leibniz algebras. We studyLeibniz 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 thepaper, we also give examples to clarify some results and the need forrestrictions on the underlying field.",
author = "Manuel Ceballos and David Towers",
year = "2023",
month = feb,
day = "3",
doi = "10.1007/s00009-023-02306-4",
language = "English",
volume = "20",
journal = "Mediterranean Journal of Mathematics",
issn = "1660-5446",
publisher = "Springer",
number = "2",

}

RIS

TY - JOUR

T1 - Abelian subalgebras and ideals of maximal dimension in solvable Leibniz algebras

AU - Ceballos, Manuel

AU - Towers, David

PY - 2023/2/3

Y1 - 2023/2/3

N2 - In this paper, we compare the abelian subalgebras and ideals ofmaximal dimension for finite-dimensional Leibniz algebras. We studyLeibniz 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 thepaper, we also give examples to clarify some results and the need forrestrictions on the underlying field.

AB - In this paper, we compare the abelian subalgebras and ideals ofmaximal dimension for finite-dimensional Leibniz algebras. We studyLeibniz 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 thepaper, we also give examples to clarify some results and the need forrestrictions on the underlying field.

U2 - 10.1007/s00009-023-02306-4

DO - 10.1007/s00009-023-02306-4

M3 - Journal article

VL - 20

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

SN - 1660-5446

IS - 2

M1 - 97

ER -