Home > Research > Publications & Outputs > Zinbiel algebras are Nilpotent

Research

Electronic data

  • zinbiel

    Rights statement: Preprint of an article submitted for consideration in Journal of Algebra and its applications © 2022 [copyright World Scientific Publishing Company] https://www.worldscientific.com/doi/10.1142/S0219498823501669

    Accepted author manuscript, 145 KB, PDF document

    Available under license: CC BY-NC: Creative Commons Attribution-NonCommercial 4.0 International License

Links

Text available via DOI:

Keywords

View graph of relations

Zinbiel algebras are Nilpotent

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

Published

Standard

Zinbiel algebras are Nilpotent. / Towers, David.
In: Journal of Algebra and Its Applications, Vol. 22, No. 8, 2350166, 01.08.2023.

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

Harvard

Towers, D 2023, 'Zinbiel algebras are Nilpotent', Journal of Algebra and Its Applications, vol. 22, no. 8, 2350166. https://doi.org/10.1142/S0219498823501669

APA

Towers, D. (2023). Zinbiel algebras are Nilpotent. Journal of Algebra and Its Applications, 22(8), Article 2350166. https://doi.org/10.1142/S0219498823501669

Vancouver

Towers D. Zinbiel algebras are Nilpotent. Journal of Algebra and Its Applications. 2023 Aug 1;22(8):2350166. Epub 2022 Apr 30. doi: 10.1142/S0219498823501669

Author

Towers, David. / Zinbiel algebras are Nilpotent. In: Journal of Algebra and Its Applications. 2023 ; Vol. 22, No. 8.

Bibtex

@article{d7706b880de24a318c67a94f0603c016,
title = "Zinbiel algebras are Nilpotent",
abstract = "In this paper we show that every finite-dimensional Zinbiel algebra over an arbitrary field is nilpotent, extending a previous result that they are solvable by other authors.",
keywords = "Zinbiel algebra, solvable, nilpotent, Frattini ideal",
author = "David Towers",
note = "Preprint of an article submitted for consideration in Journal of Algebra and its applications {\textcopyright} 2022 [copyright World Scientific Publishing Company] https://www.worldscientific.com/doi/10.1142/S0219498823501669",
year = "2023",
month = aug,
day = "1",
doi = "10.1142/S0219498823501669",
language = "English",
volume = "22",
journal = "Journal of Algebra and Its Applications",
issn = "0219-4988",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "8",

}

RIS

TY - JOUR

T1 - Zinbiel algebras are Nilpotent

AU - Towers, David

N1 - Preprint of an article submitted for consideration in Journal of Algebra and its applications © 2022 [copyright World Scientific Publishing Company] https://www.worldscientific.com/doi/10.1142/S0219498823501669

PY - 2023/8/1

Y1 - 2023/8/1

N2 - In this paper we show that every finite-dimensional Zinbiel algebra over an arbitrary field is nilpotent, extending a previous result that they are solvable by other authors.

AB - In this paper we show that every finite-dimensional Zinbiel algebra over an arbitrary field is nilpotent, extending a previous result that they are solvable by other authors.

KW - Zinbiel algebra

KW - solvable

KW - nilpotent

KW - Frattini ideal

U2 - 10.1142/S0219498823501669

DO - 10.1142/S0219498823501669

M3 - Journal article

VL - 22

JO - Journal of Algebra and Its Applications

JF - Journal of Algebra and Its Applications

SN - 0219-4988

IS - 8

M1 - 2350166

ER -