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. © Published under licence by IOP Publishing Ltd.

Bibliographic Details
Published in:Journal of Physics: Conference Series
Main Author: Ahmed H.; Bekbaev U.; Rakhimov I.
Format: Conference paper
Language:English
Published: Institute of Physics Publishing 2020
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85082458801&doi=10.1088%2f1742-6596%2f1489%2f1%2f012002&partnerID=40&md5=eb2bc958964e3583ca9d82475e27e16a