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PreprintCC BY 4.0arXiv

A note on idempotents in quandle rings

  • Dilpreet Kaur
  • Pushpendra Singh
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Abstract

It was conjectured that the nonzero idempotents of the integral quandle ring of a finite latin quandle are trivial. We prove this holds for latin dihedral quandles. Furthermore, we discuss counterexamples against this conjecture.

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Cite

BibTeXRIS
BibTeX
@misc{kaur2026note,
  title = {{A note on idempotents in quandle rings}},
  author = {Dilpreet Kaur and Pushpendra Singh},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.09183},
  eprint = {2609.09183},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.09183},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A note on idempotents in quandle rings
AU  - Dilpreet Kaur
AU  - Pushpendra Singh
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.09183
UR  - https://arxiv.org/abs/2609.09183
AB  - It was conjectured that the nonzero idempotents of the integral quandle ring of a finite latin quandle are trivial. We prove this holds for latin dihedral quandles. Furthermore, we discuss counterexamples against this conjecture.
ER  -