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  • Quasi-ideals of Leibniz algebras

    Rights statement: This is an Accepted Manuscript of an article published by Taylor & Francis in Communications in Algebra on 01/06/2020, available online: https://www.tandfonline.com/doi/full/10.1080/00927872.2020.1766058

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Quasi-ideals of Leibniz algebras

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

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Quasi-ideals of Leibniz algebras. / Towers, David.
In: Communications in Algebra, Vol. 48, No. 11, 28.08.2020, p. 4569-4579.

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

Harvard

Towers, D 2020, 'Quasi-ideals of Leibniz algebras', Communications in Algebra, vol. 48, no. 11, pp. 4569-4579. https://doi.org/10.1080/00927872.2020.1766058.

APA

Towers, D. (2020). Quasi-ideals of Leibniz algebras. Communications in Algebra, 48(11), 4569-4579. https://doi.org/10.1080/00927872.2020.1766058.

Vancouver

Towers D. Quasi-ideals of Leibniz algebras. Communications in Algebra. 2020 Aug 28;48(11):4569-4579. Epub 2020 Jun 1. doi: 10.1080/00927872.2020.1766058.

Author

Towers, David. / Quasi-ideals of Leibniz algebras. In: Communications in Algebra. 2020 ; Vol. 48, No. 11. pp. 4569-4579.

Bibtex

@article{37017af19e504260aada8122e9d62260,
title = "Quasi-ideals of Leibniz algebras",
abstract = "A subspace H of a Leibniz algebra L is called a quasi-ideal if [H;K] + [K;H] ⊆ H + K for every subspace K of L. They include ideals and subalgebras of codimension one in L. Quasi-ideals of Lie algebras were classified in two remarkable papers of Amayo. The objective here is to extend those results to the larger class of Leibniz algebras, and to classify those Leibniz algebras in which every subalgebra is a quasi-ideal.",
keywords = "Core, extraspecial Leibniz algebras, Leibniz algebras, Lie algebras, nilpotent, quasi-ideal, solvable, subalgebras of codimension one",
author = "David Towers",
note = "This is an Accepted Manuscript of an article published by Taylor & Francis in Communications in Algebra on 01/06/2020, available online: https://www.tandfonline.com/doi/full/10.1080/00927872.2020.1766058",
year = "2020",
month = aug,
day = "28",
doi = "10.1080/00927872.2020.1766058.",
language = "English",
volume = "48",
pages = "4569--4579",
journal = "Communications in Algebra",
issn = "0092-7872",
publisher = "Taylor and Francis Ltd.",
number = "11",

}

RIS

TY - JOUR

T1 - Quasi-ideals of Leibniz algebras

AU - Towers, David

N1 - This is an Accepted Manuscript of an article published by Taylor & Francis in Communications in Algebra on 01/06/2020, available online: https://www.tandfonline.com/doi/full/10.1080/00927872.2020.1766058

PY - 2020/8/28

Y1 - 2020/8/28

N2 - A subspace H of a Leibniz algebra L is called a quasi-ideal if [H;K] + [K;H] ⊆ H + K for every subspace K of L. They include ideals and subalgebras of codimension one in L. Quasi-ideals of Lie algebras were classified in two remarkable papers of Amayo. The objective here is to extend those results to the larger class of Leibniz algebras, and to classify those Leibniz algebras in which every subalgebra is a quasi-ideal.

AB - A subspace H of a Leibniz algebra L is called a quasi-ideal if [H;K] + [K;H] ⊆ H + K for every subspace K of L. They include ideals and subalgebras of codimension one in L. Quasi-ideals of Lie algebras were classified in two remarkable papers of Amayo. The objective here is to extend those results to the larger class of Leibniz algebras, and to classify those Leibniz algebras in which every subalgebra is a quasi-ideal.

KW - Core

KW - extraspecial Leibniz algebras

KW - Leibniz algebras

KW - Lie algebras

KW - nilpotent

KW - quasi-ideal

KW - solvable

KW - subalgebras of codimension one

U2 - 10.1080/00927872.2020.1766058.

DO - 10.1080/00927872.2020.1766058.

M3 - Journal article

VL - 48

SP - 4569

EP - 4579

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

IS - 11

ER -