English

Identities of the Kauffman Monoid $\mathcal{K}_3$

Group Theory 2020-01-07 v2

Abstract

We give a transparent combinatorial characterization of the identities satisfied by the Kauffman monoid K3\mathcal{K}_3. Our characterization leads to a polynomial time algorithm to check whether a given identity holds in K3\mathcal{K}_3.

Keywords

Cite

@article{arxiv.1901.01564,
  title  = {Identities of the Kauffman Monoid $\mathcal{K}_3$},
  author = {Yuzhu Chen and Xun Hu and N. V. Kitov and Yanfeng Luo and M. V. Volkov},
  journal= {arXiv preprint arXiv:1901.01564},
  year   = {2020}
}

Comments

16 pages. The referee's suggestions have been taken into account