An Algorithmic Approach to Inner Derivations of Low-Dimensional Zinbiel Algebras
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913629149855744 |
|---|---|
| author | Mosbahi, Bouzid Zahari, Ahmed |
| author_facet | Mosbahi, Bouzid Zahari, Ahmed |
| contents | In this paper, we introduce the concept of inner derivations of low-dimensional Zinbiel algebras and investigate their properties. The primary objective of this study is to develop an algorithm to characterize the inner derivations of any n-dimensional Zinbiel algebra in matrix form. Additionally, we apply this algorithm to two, three and four-dimensional complex Zinbiel algebras, providing explicit descriptions of their inner derivations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20599 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An Algorithmic Approach to Inner Derivations of Low-Dimensional Zinbiel Algebras Mosbahi, Bouzid Zahari, Ahmed Rings and Algebras In this paper, we introduce the concept of inner derivations of low-dimensional Zinbiel algebras and investigate their properties. The primary objective of this study is to develop an algorithm to characterize the inner derivations of any n-dimensional Zinbiel algebra in matrix form. Additionally, we apply this algorithm to two, three and four-dimensional complex Zinbiel algebras, providing explicit descriptions of their inner derivations. |
| title | An Algorithmic Approach to Inner Derivations of Low-Dimensional Zinbiel Algebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2412.20599 |