The Finite Basis Problem for Kauffman Monoids
Karl Auinger, Chen, Yuzhu, Xun Hu, Yanfeng Luo, Mikhail Konstantinovich Volkov · arXiv (Cornell University) · 2014
We prove a sufficient condition under which a semigroup admits no finite identity basis. As an application, it is shown that the identities of the Kauffman monoid $\mathcal{K}_n$ are nonfinitely based for each $n\ge 3$. This result holds also for the case when $\mathcal{K}_n$ is considered as an involution semigroup under either of its natural involutions.