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arXiv · 1405.0783

The Finite Basis Problem for Kauffman Monoids

Karl Auinger·Yuzhu Chen·Xun Hu·Yanfeng Luo·Mikhail Volkov
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Abstract

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.

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Karl Auinger, Yuzhu Chen, Xun Hu, Yanfeng Luo, Mikhail Volkov. 2014-05-05. The Finite Basis Problem for Kauffman Monoids. https://arxiv.org/abs/1405.0783

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