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- W4376113377 abstract "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 every two-sided skew brace is an extension of a weakly trivial skew brace by a two-sided brace. As a result, 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 semiprime skew braces, as introduced by Konovalov, Smoktunowicz and Vendramin, coincide for two-sided skew braces." @default.
- W4376113377 created "2023-05-12" @default.
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- W4376113377 date "2023-10-01" @default.
- W4376113377 modified "2023-09-25" @default.
- W4376113377 title "On Two-sided Skew Braces" @default.
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- W4376113377 doi "https://doi.org/10.1016/j.jalgebra.2023.05.003" @default.
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