Two-dimensional left (right) unital algebras over algebraically closed fields and $\mathbb{R}$
Rings and Algebras
2018-12-04 v3
Abstract
In this paper we describe all, up to isomorphism, left unital, right unital and unital algebra structures on two-dimensional vector space over any algebraically closed field and . We tabulate the algebras with the units.
Cite
@article{arxiv.1712.06731,
title = {Two-dimensional left (right) unital algebras over algebraically closed fields and $\mathbb{R}$},
author = {H. Ahmed and U. Bekbaev and I. Rakhimov},
journal= {arXiv preprint arXiv:1712.06731},
year = {2018}
}
Comments
A type-mistake in $A_{3,2}(\mathbf{c})$ case, page 3, and its consequences are corrected