Counting Finite-Dimensional Algebras Over Finite Field

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Abstract

In this paper, we describe an elementary method for counting the number of non-isomorphic algebras of a fixed, finite dimension over a given finite field. We show how this method works in the case of 2-dimensional algebras over the field F2.

Original languageEnglish
Article number153
Pages (from-to)1-9
Number of pages9
JournalResults in Mathematics
Volume75
Issue number4
DOIs
Publication statusPublished - 2020

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