Classification of two-dimensional left(right) unital algebras over algebraically closed fields and ℝ
In this paper we describe all left, right unital and unital algebra structures on two-dimensional vector space over any algebraically closed field and ℝ. We tabulate the algebras and provide their unit elements. © Published under licence by IOP Publishing Ltd.
| Published in: | Journal of Physics: Conference Series |
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| Main Author: | |
| Format: | Conference paper |
| Language: | English |
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Institute of Physics Publishing
2020
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| Online Access: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85082458801&doi=10.1088%2f1742-6596%2f1489%2f1%2f012002&partnerID=40&md5=eb2bc958964e3583ca9d82475e27e16a |
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2-s2.0-85082458801 |
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2-s2.0-85082458801 Ahmed H.; Bekbaev U.; Rakhimov I. Classification of two-dimensional left(right) unital algebras over algebraically closed fields and ℝ 2020 Journal of Physics: Conference Series 1489 1 10.1088/1742-6596/1489/1/012002 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85082458801&doi=10.1088%2f1742-6596%2f1489%2f1%2f012002&partnerID=40&md5=eb2bc958964e3583ca9d82475e27e16a In this paper we describe all left, right unital and unital algebra structures on two-dimensional vector space over any algebraically closed field and ℝ. We tabulate the algebras and provide their unit elements. © Published under licence by IOP Publishing Ltd. Institute of Physics Publishing 17426588 English Conference paper All Open Access; Gold Open Access |
| author |
Ahmed H.; Bekbaev U.; Rakhimov I. |
| spellingShingle |
Ahmed H.; Bekbaev U.; Rakhimov I. Classification of two-dimensional left(right) unital algebras over algebraically closed fields and ℝ |
| author_facet |
Ahmed H.; Bekbaev U.; Rakhimov I. |
| author_sort |
Ahmed H.; Bekbaev U.; Rakhimov I. |
| title |
Classification of two-dimensional left(right) unital algebras over algebraically closed fields and ℝ |
| title_short |
Classification of two-dimensional left(right) unital algebras over algebraically closed fields and ℝ |
| title_full |
Classification of two-dimensional left(right) unital algebras over algebraically closed fields and ℝ |
| title_fullStr |
Classification of two-dimensional left(right) unital algebras over algebraically closed fields and ℝ |
| title_full_unstemmed |
Classification of two-dimensional left(right) unital algebras over algebraically closed fields and ℝ |
| title_sort |
Classification of two-dimensional left(right) unital algebras over algebraically closed fields and ℝ |
| publishDate |
2020 |
| container_title |
Journal of Physics: Conference Series |
| container_volume |
1489 |
| container_issue |
1 |
| doi_str_mv |
10.1088/1742-6596/1489/1/012002 |
| url |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85082458801&doi=10.1088%2f1742-6596%2f1489%2f1%2f012002&partnerID=40&md5=eb2bc958964e3583ca9d82475e27e16a |
| description |
In this paper we describe all left, right unital and unital algebra structures on two-dimensional vector space over any algebraically closed field and ℝ. We tabulate the algebras and provide their unit elements. © Published under licence by IOP Publishing Ltd. |
| publisher |
Institute of Physics Publishing |
| issn |
17426588 |
| language |
English |
| format |
Conference paper |
| accesstype |
All Open Access; Gold Open Access |
| record_format |
scopus |
| collection |
Scopus |
| _version_ |
1809677898405117952 |