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  • Zinbiel abelian sub ideal_3

    Rights statement: This is an Accepted Manuscript of an article published by Taylor & Francis in Communications in Algebra on 20/10/2022, available online: https://www.tandfonline.com/doi/full/10.1080/00927872.2022.2134409

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Abelian subalgebras and ideals of maximal dimension in Zinbiel algebras

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Abelian subalgebras and ideals of maximal dimension in Zinbiel algebras. / Ceballos, Manuel; Towers, David.
In: Communications in Algebra, Vol. 51, No. 4, 27.02.2023, p. 1323-1333.

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

Harvard

Ceballos, M & Towers, D 2023, 'Abelian subalgebras and ideals of maximal dimension in Zinbiel algebras', Communications in Algebra, vol. 51, no. 4, pp. 1323-1333. https://doi.org/10.1080/00927872.2022.2134409

APA

Ceballos, M., & Towers, D. (2023). Abelian subalgebras and ideals of maximal dimension in Zinbiel algebras. Communications in Algebra, 51(4), 1323-1333. https://doi.org/10.1080/00927872.2022.2134409

Vancouver

Ceballos M, Towers D. Abelian subalgebras and ideals of maximal dimension in Zinbiel algebras. Communications in Algebra. 2023 Feb 27;51(4):1323-1333. Epub 2022 Oct 20. doi: 10.1080/00927872.2022.2134409

Author

Ceballos, Manuel ; Towers, David. / Abelian subalgebras and ideals of maximal dimension in Zinbiel algebras. In: Communications in Algebra. 2023 ; Vol. 51, No. 4. pp. 1323-1333.

Bibtex

@article{44b60df95dc54e2fa2510a5dc21c3b7b,
title = "Abelian subalgebras and ideals of maximal dimension in Zinbiel algebras",
abstract = "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 α and β for the low dimensional Zinbiel algebras over the complex field that have been classified. ",
keywords = "Abelian ideal, abelian subalgebra, nilpotent, solvable, supersolvable, Zinbiel algebra",
author = "Manuel Ceballos and David Towers",
note = "This is an Accepted Manuscript of an article published by Taylor & Francis in Communications in Algebra on 20/10/2022, available online: https://www.tandfonline.com/doi/full/10.1080/00927872.2022.2134409",
year = "2023",
month = feb,
day = "27",
doi = "10.1080/00927872.2022.2134409",
language = "English",
volume = "51",
pages = "1323--1333",
journal = "Communications in Algebra",
issn = "0092-7872",
publisher = "Taylor and Francis Ltd.",
number = "4",

}

RIS

TY - JOUR

T1 - Abelian subalgebras and ideals of maximal dimension in Zinbiel algebras

AU - Ceballos, Manuel

AU - Towers, David

N1 - This is an Accepted Manuscript of an article published by Taylor & Francis in Communications in Algebra on 20/10/2022, available online: https://www.tandfonline.com/doi/full/10.1080/00927872.2022.2134409

PY - 2023/2/27

Y1 - 2023/2/27

N2 - 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 α and β for the low dimensional Zinbiel algebras over the complex field that have been classified. 

AB - 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 α and β for the low dimensional Zinbiel algebras over the complex field that have been classified. 

KW - Abelian ideal

KW - abelian subalgebra

KW - nilpotent

KW - solvable

KW - supersolvable

KW - Zinbiel algebra

U2 - 10.1080/00927872.2022.2134409

DO - 10.1080/00927872.2022.2134409

M3 - Journal article

VL - 51

SP - 1323

EP - 1333

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

IS - 4

ER -