On derivations of low-dimensional complex Leibniz algebras.
This paper deals with the low-dimensional cases of Leibniz algebras' derivations. We give an algorithm to find the derivation algebras. Then the algorithm is applied to find the basic derivations of Leibniz algebras. The characteristically nilpotency of Leibniz algebras has also been studied. T...
| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
| Published: |
Pushpa Publishing House
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/24920/ http://psasir.upm.edu.my/id/eprint/24920/1/On%20derivations%20of%20low.pdf |
| _version_ | 1848845167572811776 |
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| author | Sattarovich, Rakhimov Isamiddin Al-Hossain, Al-Nashri |
| author_facet | Sattarovich, Rakhimov Isamiddin Al-Hossain, Al-Nashri |
| author_sort | Sattarovich, Rakhimov Isamiddin |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This paper deals with the low-dimensional cases of Leibniz algebras' derivations. We give an algorithm to find the derivation algebras. Then the algorithm is applied to find the basic derivations of Leibniz algebras. The characteristically nilpotency of Leibniz algebras has also been studied. The results are given in the form of tables. |
| first_indexed | 2025-11-15T08:42:31Z |
| format | Article |
| id | upm-24920 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:42:31Z |
| publishDate | 2011 |
| publisher | Pushpa Publishing House |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-249202016-02-18T04:34:05Z http://psasir.upm.edu.my/id/eprint/24920/ On derivations of low-dimensional complex Leibniz algebras. Sattarovich, Rakhimov Isamiddin Al-Hossain, Al-Nashri This paper deals with the low-dimensional cases of Leibniz algebras' derivations. We give an algorithm to find the derivation algebras. Then the algorithm is applied to find the basic derivations of Leibniz algebras. The characteristically nilpotency of Leibniz algebras has also been studied. The results are given in the form of tables. Pushpa Publishing House 2011-05 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/24920/1/On%20derivations%20of%20low.pdf Sattarovich, Rakhimov Isamiddin and Al-Hossain, Al-Nashri (2011) On derivations of low-dimensional complex Leibniz algebras. JP Journal of Algebra, Number Theory and Applications, 21 (1). pp. 69-81. ISSN 0972-5555 http://www.pphmj.com/ English |
| spellingShingle | Sattarovich, Rakhimov Isamiddin Al-Hossain, Al-Nashri On derivations of low-dimensional complex Leibniz algebras. |
| title | On derivations of low-dimensional complex Leibniz algebras. |
| title_full | On derivations of low-dimensional complex Leibniz algebras. |
| title_fullStr | On derivations of low-dimensional complex Leibniz algebras. |
| title_full_unstemmed | On derivations of low-dimensional complex Leibniz algebras. |
| title_short | On derivations of low-dimensional complex Leibniz algebras. |
| title_sort | on derivations of low-dimensional complex leibniz algebras. |
| url | http://psasir.upm.edu.my/id/eprint/24920/ http://psasir.upm.edu.my/id/eprint/24920/ http://psasir.upm.edu.my/id/eprint/24920/1/On%20derivations%20of%20low.pdf |