Classification of two-dimensional left(right) unital algebras over algebraically closed fields and ℝ

In this paper we describe all left, right unital and unital algebra structures on two-dimensional vector space over any algebraically closed field and ℝ. We tabulate the algebras and provide their unit elements.

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Bibliographic Details
Published in	Journal of physics. Conference series Vol. 1489; no. 1; pp. 12002 - 12013
Main Authors	Ahmed, H, Bekbaev, U, Rakhimov, I
Format	Journal Article
Language	English
Published	Bristol IOP Publishing 01.03.2020
Subjects	Algebra Physics
Online Access	Get full text

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Summary:	In this paper we describe all left, right unital and unital algebra structures on two-dimensional vector space over any algebraically closed field and ℝ. We tabulate the algebras and provide their unit elements.
ISSN:	1742-6588 1742-6596
DOI:	10.1088/1742-6596/1489/1/012002