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math.QA2022
Left seminear-rings, groups semidirect products and left cancellative left semi-braces
Marco Castelli
We study some relations between left cancellative left semi-braces and other existing algebraic structures. In particular, we show that every left semi-brace arises from a left sem…
math.QA2022
A characterization of finite simple set-theoretic solutions of the Yang-Baxter equation
Marco Castelli
In this paper we present a characterization of finite simple involutive non-degenerate set-theoretic solutions of the Yang-Baxter equation by means of left braces and we provide so…