The Finite Basis Problem for Kauffman Monoids

Karl Auinger; Yuzhu Chen; Xun Hu; Yanfeng Luo; Mikhail Volkov

The Finite Basis Problem for Kauffman Monoids

Group Theory 2014-05-06 v1

Authors: Karl Auinger , Yuzhu Chen , Xun Hu , Yanfeng Luo , Mikhail Volkov

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.

Keywords

monoids

Cite

@article{arxiv.1405.0783,
  title  = {The Finite Basis Problem for Kauffman Monoids},
  author = {Karl Auinger and Yuzhu Chen and Xun Hu and Yanfeng Luo and Mikhail Volkov},
  journal= {arXiv preprint arXiv:1405.0783},
  year   = {2014}
}

Comments

18 pages, 3 figures

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