3 papers
math.GR2025
On right units of special inverse monoids
Igor Dolinka, Robert D. Gray
We study the class of monoids that arise as the submonoid of right units of finitely presented special inverse monoids (SIMs). Gray and RuÅ¡kuc (2024) gave the first example of a f…
math.CO2025
Semirigidity and the enumeration of nilpotent semigroups of index three
Igor Dolinka, D. G. FitzGerald, James D. Mitchell
There is strong evidence for the belief that `almost all' finite semigroups, whether we consider multiplication operations on a fixed set or their isomorphism classes, are nilpoten…
math.RA2024
Congruences of maximum regular subsemigroups of variants of finite full transformation semigroups
Igor Dolinka, James East, Nik Ruškuc
Let be the full transformation monoid over a finite set , and fix some of rank . The variant has underlying set , and operation .…