Abelian subalgebras and ideals of maximal dimension in Zinbiel algebras

Ceballos, Manuel and Towers, David (2023) Abelian subalgebras and ideals of maximal dimension in Zinbiel algebras. Communications in Algebra, 51 (4). pp. 1323-1333. ISSN 0092-7872

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Official URL: https://doi.org/10.1080/00927872.2022.2134409

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.

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 20/10/2022, available online: https://www.tandfonline.com/doi/full/10.1080/00927872.2022.2134409

Uncontrolled Keywords:

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

Subjects:

?? ABELIAN IDEALABELIAN SUBALGEBRANILPOTENTSOLVABLESUPERSOLVABLEZINBIEL ALGEBRAALGEBRA AND NUMBER THEORY ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

178575

Deposited By:

ep_importer_pure

Deposited On:

03 Nov 2022 17:05

Refereed?:

Yes

Published?:

Published

Last Modified:

29 Oct 2023 00:03

URI:

https://eprints.lancs.ac.uk/id/eprint/178575