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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

    Accepted author manuscript, 229 KB, PDF document

    Embargo ends: 20/10/23

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

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Abelian subalgebras and ideals of maximal dimension in Zinbiel algebras

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

Published
<mark>Journal publication date</mark>27/02/2023
<mark>Journal</mark>Communications in Algebra
Issue number4
Volume51
Number of pages11
Pages (from-to)1323-1333
Publication StatusPublished
Early online date20/10/22
<mark>Original language</mark>English

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. 

Bibliographic 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