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math.CO2024★ 1 cited
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 .…