Finite quotients of singular Artin monoids

In this talk I will present a certain hierarchy of diagrammatic monoids which can be unified by the observation that they all are finite quotients of singular Artin monoids of a certain fixed Coxeter type. In type A, these include a certain submonoid of binary relations, the dual symmetric  inverse monoid, the symmetric inverse monoid and the Brauer monoid. Various properties of these monoids, including presentations, will be discussed.

Based on a joint work with Helena Jonsson, Elin Persson Westin, Shraddha Srivastava, Mateusz Stroinski and Xiaoyu Zhu.

Date and Venue

Start Date
Online Zoom meeting
End Date


Volodymyr Mazorchuk

Speaker's Institution

Department of Mathematics, Uppsala University, Sweden



Semigroups, Automata and Languages