On Two-Dimensional Power Associative Algebras Over Algebraically Closed Fields and R
- Авторлар: Ahmed H.1, Bekbaev U.2, Rakhimov I.3
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Мекемелер:
- Department of Mathematics, Faculty of Science
- Department of Science in Engineering, Faculty of Engineering
- Laboratory of Cryptography, Analysis and Structure, Institute for Mathematical Research
- Шығарылым: Том 40, № 1 (2019)
- Беттер: 1-13
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/203720
- DOI: https://doi.org/10.1134/S1995080219010025
- ID: 203720
Дәйексөз келтіру
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.
Негізгі сөздер
Авторлар туралы
H. Ahmed
Department of Mathematics, Faculty of Science; Department of Mathematics, Faculty of Science
Хат алмасуға жауапты Автор.
Email: houida_m7@yahoo.com
Йемен, Taiz, 3086; Serdang, Selangor Darul Ehsan, 43400 UPM
U. Bekbaev
Department of Science in Engineering, Faculty of Engineering
Хат алмасуға жауапты Автор.
Email: bekbaev@iium.edu.my
Малайзия, Kuala Lumpur, 50728
I. Rakhimov
Laboratory of Cryptography, Analysis and Structure, Institute for Mathematical Research
Хат алмасуға жауапты Автор.
Email: rakhimov@upm.edu.my
Малайзия, Serdang, Selangor