5 problems

Let $R_{2n+1}$ denote the dihedral quandle of odd order $2n+1$, let $\Delta(R_{2n+1})$ be its fundamental ideal, and let $\Delta^{2n+1}(R_{2n+1})$ be its $(2n+1)$-st power. Let…

Let $\mathbb{R}_n=\{a_0,a_1,\cdots,a_{n-1}\}$ denote the dihedral quandle of order $n$, and let $\Delta^k(\mathbb{R}_n)$ denote the $k$th power of its augmentation ideal. Bardakov–…

Mazur–Rubin–Sano conjecture. In the module

BPS conjecture. begin{enumerate} item If $n>1$ is an odd integer, then

Let $\operatorname{R}_n$ be the dihedral quandle and let $R$ be a ring. For the quandle ring $R[\operatorname{R}_n]$, let $\Delta(\operatorname{R}_n)$ denote its augmentation ideal…