On Two-Dimensional Power Associative Algebras Over Algebraically Closed Fields and R
- Авторы: Ahmed H.1, Bekbaev U.2, Rakhimov I.3
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Учреждения:
- Department of Mathematics, Faculty of Science
- Department of Science in Engineering, Faculty of Engineering
- Laboratory of Cryptography, Analysis and Structure, Institute for Mathematical Research
- Выпуск: Том 40, № 1 (2019)
- Страницы: 1-13
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/203720
- DOI: https://doi.org/10.1134/S1995080219010025
- ID: 203720
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Аннотация
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.
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Об авторах
H. Ahmed
Department of Mathematics, Faculty of Science; Department of Mathematics, Faculty of Science
Автор, ответственный за переписку.
Email: houida_m7@yahoo.com
Йемен, Taiz, 3086; Serdang, Selangor Darul Ehsan, 43400 UPM
U. Bekbaev
Department of Science in Engineering, Faculty of Engineering
Автор, ответственный за переписку.
Email: bekbaev@iium.edu.my
Малайзия, Kuala Lumpur, 50728
I. Rakhimov
Laboratory of Cryptography, Analysis and Structure, Institute for Mathematical Research
Автор, ответственный за переписку.
Email: rakhimov@upm.edu.my
Малайзия, Serdang, Selangor
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