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 t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English English English |
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Pleiades Publishing, Ltd., 2019.
2019
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| Online Access: | http://irep.iium.edu.my/71363/ http://irep.iium.edu.my/71363/1/71363_On%20Two-Dimensional%20Power%20Associative.pdf http://irep.iium.edu.my/71363/2/71363_On%20Two-Dimensional%20Power%20Associative_SCOPUS.pdf http://irep.iium.edu.my/71363/3/71363_On%20Two-Dimensional%20Power%20Associative_WOS.pdf |
| _version_ | 1848787437266927616 |
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| author | Ahmed, Houida Bekbaev, Ural Rakhimov, Isamiddin |
| author_facet | Ahmed, Houida Bekbaev, Ural Rakhimov, Isamiddin |
| author_sort | Ahmed, Houida |
| building | IIUM Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T17:24:55Z |
| format | Article |
| id | iium-71363 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English English |
| last_indexed | 2025-11-14T17:24:55Z |
| publishDate | 2019 |
| publisher | Pleiades Publishing, Ltd., 2019. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-713632020-03-23T06:37:41Z http://irep.iium.edu.my/71363/ On two-dimensional power associative algebras over algebraically closed fields and R Ahmed, Houida Bekbaev, Ural Rakhimov, Isamiddin Q Science (General) QA Mathematics QA155 Algebra 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, Ltd., 2019. 2019 Article PeerReviewed application/pdf en http://irep.iium.edu.my/71363/1/71363_On%20Two-Dimensional%20Power%20Associative.pdf application/pdf en http://irep.iium.edu.my/71363/2/71363_On%20Two-Dimensional%20Power%20Associative_SCOPUS.pdf application/pdf en http://irep.iium.edu.my/71363/3/71363_On%20Two-Dimensional%20Power%20Associative_WOS.pdf 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 https://link.springer.com/article/10.1134/S1995080219010025 10.1134/S1995080219010025 |
| spellingShingle | Q Science (General) QA Mathematics QA155 Algebra Ahmed, Houida Bekbaev, Ural Rakhimov, Isamiddin On two-dimensional power associative algebras over algebraically closed fields and R |
| title | 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_short | 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 |
| topic | Q Science (General) QA Mathematics QA155 Algebra |
| url | http://irep.iium.edu.my/71363/ http://irep.iium.edu.my/71363/ http://irep.iium.edu.my/71363/ http://irep.iium.edu.my/71363/1/71363_On%20Two-Dimensional%20Power%20Associative.pdf http://irep.iium.edu.my/71363/2/71363_On%20Two-Dimensional%20Power%20Associative_SCOPUS.pdf http://irep.iium.edu.my/71363/3/71363_On%20Two-Dimensional%20Power%20Associative_WOS.pdf |