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
Available under license: CC BY-NC: Creative Commons Attribution-NonCommercial 4.0 International License
Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
| <mark>Journal publication date</mark> | 27/02/2023 |
|---|---|
| <mark>Journal</mark> | Communications in Algebra |
| Issue number | 4 |
| Volume | 51 |
| Number of pages | 11 |
| Pages (from-to) | 1323-1333 |
| Publication Status | Published |
| Early online date | 20/10/22 |
| <mark>Original language</mark> | English |
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.