On the Classification of Two-Dimensional Algebras
Rings and Algebras
2026-05-26 v3
Abstract
We provide a clarification of the classification of two-dimensional algebras over an arbitrary base field. Using this clarification, we determine the number of non-isomorphic two-dimensional algebras over a finite field.
Keywords
Cite
@article{arxiv.2603.15148,
title = {On the Classification of Two-Dimensional Algebras},
author = {U. Bekbaev},
journal= {arXiv preprint arXiv:2603.15148},
year = {2026}
}
Comments
A more moderate result concerning the number of non-isomorphic two-dimensional algebras is presented