UPM Institutional Repository

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


Citation

Hussein Ahmed, Houida Mohammed and Bekbaev, U. and Sattarovich, 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; ESSN: 1818-9962

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.


Download File

[img] Text (Abstract)
On two-dimensional power associative algebras over algebraically closed fields and R.pdf

Download (51kB)

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1134/S1995080219010025
Publisher: Pleiades Publishing
Keywords: Power-associative algebra; Isomorphism; Classification; Unital algebra
Depositing User: Ms. Nida Hidayati Ghazali
Date Deposited: 28 Oct 2020 19:04
Last Modified: 28 Oct 2020 19:04
Altmetrics: https://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1134/S1995080219010025
URI: http://psasir.upm.edu.my/id/eprint/81540
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item