Contractions of low dimensional complex associative algebras
Contraction is one of the most important concepts that play an important role from the mathematical and physical point of view. In this work, the contractions of complex associative algebras are considered. We focus on the variety A2(ℂ) that consisting of all associative algebras of dimension two ov...
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57647/ http://psasir.upm.edu.my/id/eprint/57647/1/Contractions%20of%20low%20dimensional%20complex%20associative%20algebras.pdf |
| _version_ | 1848853424889659392 |
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| author | Mohammed, Nadia Faiq Rakhimov, Isamiddin Sattarovich Said Husain, Sharifah Kartini |
| author_facet | Mohammed, Nadia Faiq Rakhimov, Isamiddin Sattarovich Said Husain, Sharifah Kartini |
| author_sort | Mohammed, Nadia Faiq |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Contraction is one of the most important concepts that play an important role from the mathematical and physical point of view. In this work, the contractions of complex associative algebras are considered. We focus on the variety A2(ℂ) that consisting of all associative algebras of dimension two over the complex numbers ℂ (including nonunital). Various contractions criteria are collected and new criteria are proposed to test the possible existence of contraction for each pair of associative algebras. As a result, we prove that the variety A2(ℂ) has three irreducible components, two of dimension 2 and one of dimension 4. |
| first_indexed | 2025-11-15T10:53:46Z |
| format | Conference or Workshop Item |
| id | upm-57647 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:53:46Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-576472017-10-24T09:04:11Z http://psasir.upm.edu.my/id/eprint/57647/ Contractions of low dimensional complex associative algebras Mohammed, Nadia Faiq Rakhimov, Isamiddin Sattarovich Said Husain, Sharifah Kartini Contraction is one of the most important concepts that play an important role from the mathematical and physical point of view. In this work, the contractions of complex associative algebras are considered. We focus on the variety A2(ℂ) that consisting of all associative algebras of dimension two over the complex numbers ℂ (including nonunital). Various contractions criteria are collected and new criteria are proposed to test the possible existence of contraction for each pair of associative algebras. As a result, we prove that the variety A2(ℂ) has three irreducible components, two of dimension 2 and one of dimension 4. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57647/1/Contractions%20of%20low%20dimensional%20complex%20associative%20algebras.pdf Mohammed, Nadia Faiq and Rakhimov, Isamiddin Sattarovich and Said Husain, Sharifah Kartini (2016) Contractions of low dimensional complex associative algebras. In: 2nd International Conference and Workshop on Mathematical Analysis (ICWOMA 2016), 2-4 Aug. 2016, Langkawi, Malaysia. (pp. 1-8). 10.1063/1.4972166 |
| spellingShingle | Mohammed, Nadia Faiq Rakhimov, Isamiddin Sattarovich Said Husain, Sharifah Kartini Contractions of low dimensional complex associative algebras |
| title | Contractions of low dimensional complex associative algebras |
| title_full | Contractions of low dimensional complex associative algebras |
| title_fullStr | Contractions of low dimensional complex associative algebras |
| title_full_unstemmed | Contractions of low dimensional complex associative algebras |
| title_short | Contractions of low dimensional complex associative algebras |
| title_sort | contractions of low dimensional complex associative algebras |
| url | http://psasir.upm.edu.my/id/eprint/57647/ http://psasir.upm.edu.my/id/eprint/57647/ http://psasir.upm.edu.my/id/eprint/57647/1/Contractions%20of%20low%20dimensional%20complex%20associative%20algebras.pdf |