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Centroids and derivations of associative algebras


Fiidow, Mohamed Abubakar Hagi Mohamed and Rakhimov, Isamiddin Sattarovich and Said Husain, Sharifah Kartini (2015) Centroids and derivations of associative algebras. In: 7th International Conference on Research and Education in Mathematics (ICREM7), 25-27 Aug. 2015, Renaissance Kuala Lumpur Hotel, Malaysia. (pp. 227-232).


In this paper we study centroids and derivations of associative algebras. Using a classification result of associative algebras, we describe the centroids and derivations of low-dimensional associative algebras. We review some properties of the centroids in the light of associative algebras and use these properties to categorize the algebras into having small and not small centroids. We also give a list of low-dimensional characteristically nilpotent associative algebras.

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Official URL or Download Paper: http://ieeexplore.ieee.org/document/7357059/

Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1109/ICREM.2015.7357059
Publisher: IEEE
Keywords: Associative algebras; Centroids; Derivations
Depositing User: Nabilah Mustapa
Date Deposited: 03 May 2017 04:13
Last Modified: 03 May 2017 04:13
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1109/ICREM.2015.7357059
URI: http://psasir.upm.edu.my/id/eprint/51903
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