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


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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.

作者简介

H. Ahmed

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

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也门, Taiz, 3086; Serdang, Selangor Darul Ehsan, 43400 UPM

U. Bekbaev

Department of Science in Engineering, Faculty of Engineering

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Email: bekbaev@iium.edu.my
马来西亚, Kuala Lumpur, 50728

I. Rakhimov

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

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Email: rakhimov@upm.edu.my
马来西亚, Serdang, Selangor


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