Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912118971826176 |
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| author | Imed, Basdouri Lerbet, Jean Mosbahi, Bouzid |
| author_facet | Imed, Basdouri Lerbet, Jean Mosbahi, Bouzid |
| contents | In this paper, we introduce the concepts of quasi-centroid and quasi-derivation for Zinbiel algebras. Utilizing the classification results of Zinbiel algebras established previously, we describe the quasi-centroids and quasi-derivations of low-dimensional Zinbiel algebras. Additionally, we explore certain properties of quasi-centroids in the context of Zinbiel algebras and employ these properties to classify algebras with so-called small quasi-centroids. This description of quasi-derivations allows us to identify a significant subclass of Zinbiel algebras characterized as quasi-characteristically nilpotent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_09532 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras Imed, Basdouri Lerbet, Jean Mosbahi, Bouzid Rings and Algebras In this paper, we introduce the concepts of quasi-centroid and quasi-derivation for Zinbiel algebras. Utilizing the classification results of Zinbiel algebras established previously, we describe the quasi-centroids and quasi-derivations of low-dimensional Zinbiel algebras. Additionally, we explore certain properties of quasi-centroids in the context of Zinbiel algebras and employ these properties to classify algebras with so-called small quasi-centroids. This description of quasi-derivations allows us to identify a significant subclass of Zinbiel algebras characterized as quasi-characteristically nilpotent. |
| title | Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2411.09532 |