Kaplansky-type zero-divisor conjecture for non-inert semi-latin quandles

Let $\mathbb{k}$ be an integral domain with unity and let $X$ be a semi-latin quandle, meaning a quandle whose left and right translations satisfy the relevant latin-type conditions, and assume that $X$ is non-inert. The quandle ring $\mathbb{k}[X]$ is the $\mathbb{k}$-algebra with basis $X$ and multiplication induced by the quandle operation. Kaplansky-type conjecture. The quandle ring $\mathbb{k}[X]$ has no zero-divisors. This is proposed as a quandle analogue of Kaplansky's zero-divisor conjecture; the paper proves the claim for several orderable classes, but not in the stated generality.