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 |
| Published: |
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 |
| Summary: | 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. |
|---|---|
| ISSN: | 17426588 |
| DOI: | 10.1088/1742-6596/1489/1/012002 |