Quasi-ideals of Leibniz algebras

Towers, David (2020) Quasi-ideals of Leibniz algebras. Communications in Algebra, 48 (11). pp. 4569-4579. ISSN 0092-7872

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Official URL: https://doi.org/10.1080/00927872.2020.1766058.

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.

Item Type:

Journal Article

Journal or Publication Title:

Communications in Algebra

Additional Information:

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

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600/2602

Subjects:

?? COREEXTRASPECIAL LEIBNIZ ALGEBRASLEIBNIZ ALGEBRASLIE ALGEBRASNILPOTENTQUASI-IDEALSOLVABLESUBALGEBRAS OF CODIMENSION ONEALGEBRA AND NUMBER THEORY ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

146236

Deposited By:

ep_importer_pure

Deposited On:

19 Aug 2020 10:40

Refereed?:

Yes

Published?:

Published

Last Modified:

20 Sep 2023 01:33

URI:

https://eprints.lancs.ac.uk/id/eprint/146236