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math.RA2026
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…
math.GR2026
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…