Quandle rings

Abstract

In this paper, a theory of quandle rings is proposed for quandles analogous to the classical theory of group rings for groups, and interconnections between quandles and associated quandle rings are explored.

20 pages, minor changes

References in corpus (4)

• Automorphism groups of Quandles
• Yang-Baxter deformations of quandles and racks
• Automorphism groups of quandles arising from groups
• Cohomology of Categorical Self-Distributivity

Cited by in corpus (4)

• Ring Theoretic Aspects of Quandles
• Enhancements of link colorings via idempotents of quandle rings
• Idempotents, free products and quandle coverings
• Counterexample to a conjecture about dihedral quandle