On two-sided skew braces
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866917769984868352 |
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| author | Trappeniers, S. |
| author_facet | Trappeniers, S. |
| contents | In order to study two-sided skew braces, we introduce the notion of weakly trivial skew braces. We give a classification of such skew braces and show that they are essential in the study of two-sided skew braces. As an application, we obtain new and generalize known results relating the additive and multiplicative group of two-sided skew braces. Further, we show that two a priori different notions of prime and semi-prime skew braces, as introduced by Konovalov, Smoktunowicz and Vendramin, coincide for two-sided skew braces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_04772 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On two-sided skew braces Trappeniers, S. Rings and Algebras Group Theory Quantum Algebra In order to study two-sided skew braces, we introduce the notion of weakly trivial skew braces. We give a classification of such skew braces and show that they are essential in the study of two-sided skew braces. As an application, we obtain new and generalize known results relating the additive and multiplicative group of two-sided skew braces. Further, we show that two a priori different notions of prime and semi-prime skew braces, as introduced by Konovalov, Smoktunowicz and Vendramin, coincide for two-sided skew braces. |
| title | On two-sided skew braces |
| topic | Rings and Algebras Group Theory Quantum Algebra |
| url | https://arxiv.org/abs/2208.04772 |