Email this article On Two-Dimensional Power Associative Algebras Over Algebraically Closed Fields and R
- Authors: Ahmed H.1, Bekbaev U.2, Rakhimov I.3
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Affiliations:
- Department of Mathematics, Faculty of Science
- Department of Science in Engineering, Faculty of Engineering
- Laboratory of Cryptography, Analysis and Structure, Institute for Mathematical Research
- Issue: Vol 40, No 1 (2019)
- Pages: 1-13
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/203720
- DOI: https://doi.org/10.1134/S1995080219010025
- ID: 203720
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Abstract
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.
About the authors
H. Ahmed
Department of Mathematics, Faculty of Science; Department of Mathematics, Faculty of Science
Author for correspondence.
Email: houida_m7@yahoo.com
Yemen, Taiz, 3086; Serdang, Selangor Darul Ehsan, 43400 UPM
U. Bekbaev
Department of Science in Engineering, Faculty of Engineering
Author for correspondence.
Email: bekbaev@iium.edu.my
Malaysia, Kuala Lumpur, 50728
I. Rakhimov
Laboratory of Cryptography, Analysis and Structure, Institute for Mathematical Research
Author for correspondence.
Email: rakhimov@upm.edu.my
Malaysia, Serdang, Selangor
