Counting finite semirings
Rings and Algebras
2025-12-02 v2
Abstract
In this short note we count the finite semirings up to isomorphism, and up to isomorphism and anti-isomorphism for some small values of ; for which we utilise the existing library of small semigroups in the GAP package Smallsemi.
Cite
@article{arxiv.2507.03709,
title = {Counting finite semirings},
author = {J. Edwards and J. D. Mitchell and P. Ragavan},
journal= {arXiv preprint arXiv:2507.03709},
year = {2025}
}
Comments
6 pages, 4 tables (updated to add more numbers to tables)