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On Two-Dimensional Power Associative Algebras Over Algebraically Closed Fields and R


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Resumo

In this paper we describe all power-associative algebra structures on a two-dimensional vector space over algebraically closed fields and ℝ. The list of all two-dimensional left(right) unital power-associative algebras, along with their unit elements, is specified. Also we compare the result of the paper with that results obtained earlier.

Sobre autores

H. Ahmed

Department of Mathematics, Faculty of Science; Department of Mathematics, Faculty of Science

Autor responsável pela correspondência
Email: houida_m7@yahoo.com
Iêmen, Taiz, 3086; Serdang, Selangor Darul Ehsan, 43400 UPM

U. Bekbaev

Department of Science in Engineering, Faculty of Engineering

Autor responsável pela correspondência
Email: bekbaev@iium.edu.my
Malásia, Kuala Lumpur, 50728

I. Rakhimov

Laboratory of Cryptography, Analysis and Structure, Institute for Mathematical Research

Autor responsável pela correspondência
Email: rakhimov@upm.edu.my
Malásia, Serdang, Selangor

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