# The Wreath Product of Semiprime Skew Braces is Semiprime

## TL;DR

This paper proves that the wreath product operation preserves the property of being a semiprime skew brace, extending the understanding of algebraic structures in this area.

## Contribution

It establishes that the wreath product of two semiprime skew braces results in a semiprime skew brace, a new property preservation result in algebraic structure theory.

## Key findings

- Wreath product of two semiprime skew braces is semiprime
- Extension of semiprime property under algebraic operations
- Advances understanding of skew brace algebraic structures

## Abstract

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