On Two-Dimensional Power Associative Algebras Over Algebraically Closed Fields and R

被引：1
作者：
Ahmed, H. [1 ,2 ]
Bekbaev, U. [3 ]
Rakhimov, I. [4 ]
机构：
[1] Taiz Univ, Dept Math, Fac Sci, Taizi 3086, Yemen
[2] Univ Putra Malaysia, Dept Math, Fac Sci, Serdang 43400, Selangor Darul, Malaysia
[3] Int Islamic Univ Malaysia, Dept Engn Sci, Fac Engn, Kuala Lumpur 50728, Malaysia
[4] Univ Putra Malaysia, Inst Math Res, Lab Cryptog Anal & Struct, Serdang, Selangor, Malaysia
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2019年 / 40卷 / 01期
关键词：
power-associative algebra; isomorphism; classification; unital algebra;
D O I：
10.1134/S1995080219010025
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we describe all power-associative algebra structures on a two-dimensional vector space over algebraically closed fields and . 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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页码：1 / 13
页数：13
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