The wreath product of semiprime skew braces is semiprime

Abstract

In this note, we show that the wreath product of two semiprime skew braces is also a semiprime skew brace.

Keywords:

• Braces
• semiprime
• skew braces
• Yang–Baxter equation

MATHEMATICS SUBJECT CLASSIFICATION:

• Primary: 16T20
• Secondary: 81R50

Acknowledgments

The author would like to thank Agata Smoktunowicz for introducing him to the theory of braces, and for her feedback and encouragement in writing this note. The author also thanks Ivan Lau, Leandro Vendramin and the anonymous reviewers for their helpful comments on earlier versions of this manuscript.