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

• Main Authors: Hussein Ahmed, Houida Mohammed, Bekbaev, U., Sattarovich, Rakhimov Isamiddin
• Format: Article
• Language: English
• Published: Pleiades Publishing 2019
• Online Access: http://psasir.upm.edu.my/id/eprint/81540/1/On%20two-dimensional%20power%20associative%20algebras%20over%20algebraically%20closed%20fields%20and%20R.pdf; http://psasir.upm.edu.my/id/eprint/81540/; https://link.springer.com/article/10.1134/S1995080219010025

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...