2 problems

Let $g\geq 1$, let $\mathcal{D}_g$ be the Dehn quandle of a closed orientable surface of genus $g$, and let $\mathbb{Z}[\mathcal{D}_g]$ be its integral quandle algebra. An element…

Let $S$ be a generating set and let … be an Artin group. For quandle elements, write $(s*t)_m$ for the alternating product of $s$ and $t$ under the quandle operation, beginning wit…