Canonical Form Algorithm and Separating Systems for Two-Dimensional Algebras
For a field F, where any polynomial of degree two and three possess a root, we give an algorithm transforming any two-dimensional algebra over F to a “canonical form” in terms of structure constants of the algebra. A system of invariant conditions in form of equalities and non-equalities (inequaliti...
| Published in: | Malaysian Journal of Mathematical Sciences |
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| Main Author: | |
| Format: | Article |
| Language: | English |
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Universiti Putra Malaysia
2022
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| Online Access: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85140030873&doi=10.47836%2fmjms.16.3.02&partnerID=40&md5=7cb2ff7e78ddcbbe06a8e7eadc907596 |
| Summary: | For a field F, where any polynomial of degree two and three possess a root, we give an algorithm transforming any two-dimensional algebra over F to a “canonical form” in terms of structure constants of the algebra. A system of invariant conditions in form of equalities and non-equalities (inequalities) separating non-isomorphic two-dimensional algebras is given. © 2022, Malaysian Journal of Mathematical Sciences. All Rights Reserved. |
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| ISSN: | 18238343 |
| DOI: | 10.47836/mjms.16.3.02 |