Ceballos, Manuel and Towers, David (2022) Abelian subalgebras and ideals of maximal dimension in Zinbiel algebras. Communications in Algebra. ISSN 0092-7872
Text (Zinbiel abelian sub ideal_3)
Zinbiel_abelian_sub_ideal_3.pdf - Accepted Version
Restricted to Repository staff only until 20 October 2023.
Available under License Creative Commons Attribution-NonCommercial.
Download (234kB)
Zinbiel_abelian_sub_ideal_3.pdf - Accepted Version
Restricted to Repository staff only until 20 October 2023.
Available under License Creative Commons Attribution-NonCommercial.
Download (234kB)
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 $\alpha$ and $\beta$ 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:
Departments:
ID Code:
178575
Deposited By:
Deposited On:
03 Nov 2022 17:05
Refereed?:
Yes
Published?:
Published
Last Modified:
22 Nov 2022 11:05