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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

    Accepted author manuscript, 240 KB, PDF document

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

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Quasi-ideals of Leibniz algebras

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

Published
<mark>Journal publication date</mark>28/08/2020
<mark>Journal</mark>Communications in Algebra
Issue number11
Volume48
Number of pages11
Pages (from-to)4569-4579
Publication StatusPublished
Early online date1/06/20
<mark>Original language</mark>English

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.

Bibliographic 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