24 citations · 26 across the 5 of their papers we have counts for
5 papers
Counting finite semirings
J. Edwards, J. D. Mitchell, P. Ragavan
In this short note we count the finite semirings up to isomorphism, and up to isomorphism or anti-isomorphism for some small values of ; for which we utilise the existing librar…
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…
Short presentations for transformation monoids
Thomas Aird, James D. Mitchell, Murray T. Whyte
By the theorems of Cayley and Vagner-Preston, the full transformation monoids and the symmetric inverse monoids play analogous roles in the theory of monoids and inverse monoids, a…
The Structure of a Graph Inverse Semigroup
Zachary Mesyan, J. D. Mitchell
Given any directed graph E one can construct a graph inverse semigroup G(E), where, roughly speaking, elements correspond to paths in the graph. In this paper we study the semigrou…
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…