Skew braces and the Yang-Baxter equation
نویسندگان
چکیده
Braces were introduced by Rump to study non-degenerate involutive set-theoretic solutions of the Yang–Baxter equation. To study non-involutive solutions one needs skew braces, a non-commutative analog of braces. In this talk we discuss basic properties of skew braces and how these structures are related to the Yang-Baxter equation. We also discuss interesting connections between skew braces and several structures appearing in non-commutative ring theory. The talk will be mainly based on a joint work with A. Smoktunowicz.
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عنوان ژورنال:
- Math. Comput.
دوره 86 شماره
صفحات -
تاریخ انتشار 2017