Some properties of skew braces that are invariant under isoclinism

AbstractLetourmy 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 braceinner skew braceisoclinismskew braceλ-homomorphic skew brace2020 Mathematics Subject Classification: 17D99 AcknowledgmentsThe author is a member of INdAM—GNSAGA. The author gratefully acknowledges support from the Department of Mathematics of the University of Trento.