• Kyungpook Mathematical Journal
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• v.60 no.2
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• pp.279-288
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• 2020

Niebrzydowski and Przytycki conjectured that the torsion of rack and quandle homology of a dihedral quandle of order 2k is annihilated by k, unless k = 2^t for t > 1. We partially prove this conjecture.

• East Asian mathematical journal
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• v.30 no.1
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• pp.51-62
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• 2014

The purpose of this paper is to explicitly present Andruskiewitsch-Gra$\tilde{n}$a's dynamical cocycles associated with the two known non-medial left-distributive quasigroups of order 15 which are extensions of the dihedral quandle of order 3 by those cocycles.