N. V. Kitov

collaborators

3 papers

math.GR2022

Identities in twisted Brauer monoids

N. V. Kitov, M. V. Volkov

We show that it is co-NP-hard to check whether a given semigroup identity holds in the twisted Brauer monoid $B_{n}^{τ}$ with $n \geq 5$ .

math.GR2019

Identities of the Kauffman Monoid $K_{4}$ and of the Jones monoid $J_{4}$

N. V. Kitov, M. V. Volkov

Kauffman monoids $K_{n}$ and Jones monoids $J_{n}$ , $n = 2, 3, \dots$ , are two families of monoids relevant in knot theory. We prove a somewhat counterintuitive result…

math.GR2019

Identities of the Kauffman Monoid $K_{3}$

Yuzhu Chen, Xun Hu, N. V. Kitov +2

We give a transparent combinatorial characterization of the identities satisfied by the Kauffman monoid $K_{3}$ . Our characterization leads to a polynomial time algorithm t…

Identities in twisted Brauer monoids

Identities of the Kauffman Monoid K4​ and of the Jones monoid J4​

Identities of the Kauffman Monoid K3​

Identities of the Kauffman Monoid $K_{4}$ and of the Jones monoid $J_{4}$

Identities of the Kauffman Monoid $K_{3}$