On two-dimensional power associative algebras over algebraically closed fields and R

Ahmed, Houida and Bekbaev, Ural and Rakhimov, Isamiddin (2019) On two-dimensional power associative algebras over algebraically closed fields and R. Lobachevskii Journal of Mathematics, 40 (1). pp. 1-13. ISSN 1995-0802 E-ISSN 1818-9962

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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.

Item Type:	Article (Journal)
Additional Information:	6830/71363
Uncontrolled Keywords:	power-associative algebra; isomorphism; classification; unital algebra.
Subjects:	Q Science > Q Science (General) Q Science > QA Mathematics Q Science > QA Mathematics > QA155 Algebra
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering Kulliyyah of Engineering > Department of Science
Depositing User:	Associate Prof. Ural Bekbaev
Date Deposited:	23 Mar 2020 14:37
Last Modified:	23 Mar 2020 14:37
URI:	http://irep.iium.edu.my/id/eprint/71363

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