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A note on idempotents in quandle rings

Dilpreet Kaur, Pushpendra Singh

math.RAarXiv:2609.09183

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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