Counting finite-dimensional algebras over finite fields

Published 9 Sep 2019 in math.RA and math.CO | (1909.03717v2)

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 $2$-dimensional algebras over the field $\mathbb{F}_{2}$.

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Nikolaas D. Verhulst

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