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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.CO2012★ 1 cited
The number of nilpotent semigroups of degree 3
Andreas Distler, James D. Mitchell
A semigroup is \emph{nilpotent} of degree 3 if it has a zero, every product of 3 elements equals the zero, and some product of 2 elements is non-zero. It is part of the folklore of…