English

Idempotents in integral ring of dihedral quandle

General Mathematics 2022-06-22 v1

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=5n=5. This produces an example of a connected quandle XX such that Aut(X)≇Aut(Z[X])Aut (X)\not\cong Aut (\mathbb{Z}[X]).

Keywords

Cite

@article{arxiv.2206.10386,
  title  = {Idempotents in integral ring of dihedral quandle},
  author = {P Narayanan and Saikat Panja},
  journal= {arXiv preprint arXiv:2206.10386},
  year   = {2022}
}