On connected component decompositions of quandles

Yusuke Iijima, Tomo Murao

We give a formula of the connected component decomposition of the Alexander quandle: $\mathbb{Z}[t^{\pm 1}]/(f_1(t),\dots ,f_k(t))={⨆}_{i=0}^{a-1}\mathrm{Orb}(i)$, where $a=\…