Furkejuvvon:
| Váldodahkki: | |
|---|---|
| Materiálatiipa: | Preprint |
| Almmustuhtton: |
2022
|
| Fáttát: | |
| Liŋkkat: | https://arxiv.org/abs/2208.04772 |
| Fáddágilkorat: |
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Sisdoallologahallan:
- 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.