The structure of medial quandles

Abstract

Medial quandles are represented using a heterogeneous affine structure. As a consequence, we obtain numerous structural properties, including enumeration of isomorphism classes of medial quandles up to 13 elements.

Keywords

• Quandles
• Medial quandles
• Groupoid modes
• SIE groupoids
• Differential groupoids
• Reductive groupoids
• Medial idempotent groupoids
• Enumeration of quandles