Counting finite-dimensional algebras over finite fields
Rings and Algebras
2019-09-30 v2 Combinatorics
Abstract
In this paper, we describe an elementary method for counting the number of non-isomorphic algebras of a fixed dimension over a given finite field. We show how this method works for the explicit example of -dimensional algebras over the field .
Cite
@article{arxiv.1909.03717,
title = {Counting finite-dimensional algebras over finite fields},
author = {Nikolaas D. Verhulst},
journal= {arXiv preprint arXiv:1909.03717},
year = {2019}
}
Comments
5 pages