On Two-Dimensional Power Associative Algebras Over Algebraically Closed Fields and R
H. AhmedDepartment of Mathematics, Faculty of Science, Taiz University, Taiz, 3086, YemenUral BekbaevDepartment of Science in Engineering, Faculty of Engineering, International Islamic University Malaysia, 50728, Kuala Lumpur, MalaysiaI. S. RakhimovLaboratory of Cryptography, Analysis and Structure, Institute for Mathematical Research, Universiti Putra Malaysia (UPM), Serdang, Selangor, Malaysia
2019en
ABI
Annotatsiya
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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