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math.QA2024
A note on semiprime skew left braces and related semidirect products
Marco Castelli
In this paper, we focus on semiprime skew left braces provided by semidirect products. We show that if a semidirect product is semiprime and is Artinian, the…
math.QA2024
On commutative set-theoretic solutions of the Pentagon Equation
Marco Castelli
We extend the so-called retract relation given in [6] for involutive set-theoretic solutions of the Pentagon Equation and we introduce the notion of associated permutation group to…