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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| 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 |
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2-s2.0-85140030873 Ahmed H.; Bekbaev U.; Rakhimov I. Canonical Form Algorithm and Separating Systems for Two-Dimensional Algebras 2022 Malaysian Journal of Mathematical Sciences 16 3 10.47836/mjms.16.3.02 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85140030873&doi=10.47836%2fmjms.16.3.02&partnerID=40&md5=7cb2ff7e78ddcbbe06a8e7eadc907596 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. Universiti Putra Malaysia 18238343 English Article All Open Access; Bronze Open Access |
| author |
Ahmed H.; Bekbaev U.; Rakhimov I. |
| spellingShingle |
Ahmed H.; Bekbaev U.; Rakhimov I. Canonical Form Algorithm and Separating Systems for Two-Dimensional Algebras |
| author_facet |
Ahmed H.; Bekbaev U.; Rakhimov I. |
| author_sort |
Ahmed H.; Bekbaev U.; Rakhimov I. |
| title |
Canonical Form Algorithm and Separating Systems for Two-Dimensional Algebras |
| title_short |
Canonical Form Algorithm and Separating Systems for Two-Dimensional Algebras |
| title_full |
Canonical Form Algorithm and Separating Systems for Two-Dimensional Algebras |
| title_fullStr |
Canonical Form Algorithm and Separating Systems for Two-Dimensional Algebras |
| title_full_unstemmed |
Canonical Form Algorithm and Separating Systems for Two-Dimensional Algebras |
| title_sort |
Canonical Form Algorithm and Separating Systems for Two-Dimensional Algebras |
| publishDate |
2022 |
| container_title |
Malaysian Journal of Mathematical Sciences |
| container_volume |
16 |
| container_issue |
3 |
| doi_str_mv |
10.47836/mjms.16.3.02 |
| url |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85140030873&doi=10.47836%2fmjms.16.3.02&partnerID=40&md5=7cb2ff7e78ddcbbe06a8e7eadc907596 |
| description |
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. |
| publisher |
Universiti Putra Malaysia |
| issn |
18238343 |
| language |
English |
| format |
Article |
| accesstype |
All Open Access; Bronze Open Access |
| record_format |
scopus |
| collection |
Scopus |
| _version_ |
1809677890619441152 |