Identities of the Kauffman Monoid K₃

2019/01/06 by Chen, Yuzhu, Hu, Xun, Kitov, N. V. +2
#20M07 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1901.01564

Abstract

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

Related

• Identities of the Kauffman Monoid K₄ and of the Jones monoid J₄
• The Finite Basis Problem for Kauffman Monoids
• Kauffman Monoids
• The Finite Basis Problem for Kiselman Monoids
• Identities in plactic, hypoplactic, sylvester, Baxter, and related monoids