Citation
Said Husain, Sharifah Kartini and Rakhimov, Isamiddin Sattarovich and Basri, Witriany
(2016)
Centroids and derivations of low-dimensional Leibniz algebra.
In: 24th National Symposium on Mathematical Sciences (SKSM24), 27-29 Sept. 2016, Primula Beach Hotel, Kuala Terengganu, Terengganu. (pp. 1-8).
Abstract
In this paper we introduce the concept of centroid and derivation of Leibniz algebras. By using the classification results of Leibniz algebras obtained earlier, we describe the centroids and derivations of low-dimensional Leibniz algebras. We also study some properties of centroids of Leibniz algebras and use these properties to categorize the algebras to have so-called small centroids. The description of the derivations enables us to specify an important subclass of Leibniz algebras called characteristically nilpotent.
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Additional Metadata
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1063/1.4995838 |
| Publisher: | AIP Publishing |
| Keywords: | Centroids; Leibniz algebra |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 27 Sep 2017 07:28 |
| Last Modified: | 27 Sep 2017 07:28 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4995838 |
| URI: | http://psasir.upm.edu.my/id/eprint/57395 |
| Statistic Details: | View Download Statistic |
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