Idempotents in integral ring of dihedral quandle

2022/06/17 by P Narayanan, Narayanan, P, Saikat Panja +1 · 1 citation
Mathematics · #12F10 #16T05 #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #FOS: Mathematics #General Mathematics (math.GM) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2206.10386

openalex publication_date 2022/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide the structure of some idempotents in the integral ring of a dihedral quandles, for odd case. The solution is complete in case n=5. This produces an example of a connected quandle X such that Aut (X)\not≅ Aut (ℤ[X]).

Cited by

• Idempotents, automorphism groups, and commutator widths of quandle algebras

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