Some properties of skew braces that are invariant under isoclinism

Abstract

Letourmy and Vendramin have recently introduced a concept of isoclinism for skew braces. We show that for a skew brace the properties of being bi-skew, λ-homomorphic, and inner are invariant under isoclinism.

Keywords:

• Bi-skew brace
• inner skew brace
• isoclinism
• skew brace
• λ-homomorphic skew brace

2020 Mathematics Subject Classification:

• 17D99

Acknowledgments

The author is a member of INdAM—GNSAGA. The author gratefully acknowledges support from the Department of Mathematics of the University of Trento.