On two-dimensional power associative algebras over algebraically closed fields and R
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...
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Pleiades Publishing
2019
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| 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 |
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my.upm.eprints.815402020-10-28T19:04:25Z http://psasir.upm.edu.my/id/eprint/81540/ On two-dimensional power associative algebras over algebraically closed fields and R Hussein Ahmed, Houida Mohammed Bekbaev, U. Sattarovich, Rakhimov Isamiddin 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. Pleiades Publishing 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/81540/1/On%20two-dimensional%20power%20associative%20algebras%20over%20algebraically%20closed%20fields%20and%20R.pdf 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 https://link.springer.com/article/10.1134/S1995080219010025 10.1134/S1995080219010025 |
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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. |
| format |
Article |
| author |
Hussein Ahmed, Houida Mohammed Bekbaev, U. Sattarovich, Rakhimov Isamiddin |
| spellingShingle |
Hussein Ahmed, Houida Mohammed Bekbaev, U. Sattarovich, Rakhimov Isamiddin On two-dimensional power associative algebras over algebraically closed fields and R |
| author_facet |
Hussein Ahmed, Houida Mohammed Bekbaev, U. Sattarovich, Rakhimov Isamiddin |
| author_sort |
Hussein Ahmed, Houida Mohammed |
| title |
On two-dimensional power associative algebras over algebraically closed fields and R |
| title_short |
On two-dimensional power associative algebras over algebraically closed fields and R |
| title_full |
On two-dimensional power associative algebras over algebraically closed fields and R |
| title_fullStr |
On two-dimensional power associative algebras over algebraically closed fields and R |
| title_full_unstemmed |
On two-dimensional power associative algebras over algebraically closed fields and R |
| title_sort |
on two-dimensional power associative algebras over algebraically closed fields and r |
| publisher |
Pleiades Publishing |
| publishDate |
2019 |
| url |
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 |
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