Centroids and derivations of associative algebras
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...
| Main Authors: | , , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IEEE
2015
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/51903/ http://psasir.upm.edu.my/id/eprint/51903/1/Centroids%20and%20derivations%20of%20associative%20algebras.pdf |
| _version_ | 1848851959717560320 |
|---|---|
| author | Fiidow, Mohamed Abubakar Hagi Mohamed Rakhimov, Isamiddin Sattarovich Said Husain, Sharifah Kartini |
| author_facet | Fiidow, Mohamed Abubakar Hagi Mohamed Rakhimov, Isamiddin Sattarovich Said Husain, Sharifah Kartini |
| author_sort | Fiidow, Mohamed Abubakar Hagi Mohamed |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T10:30:28Z |
| format | Conference or Workshop Item |
| id | upm-51903 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:30:28Z |
| publishDate | 2015 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-519032017-05-03T04:13:34Z http://psasir.upm.edu.my/id/eprint/51903/ Centroids and derivations of associative algebras Fiidow, Mohamed Abubakar Hagi Mohamed Rakhimov, Isamiddin Sattarovich Said Husain, Sharifah Kartini 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. IEEE 2015 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51903/1/Centroids%20and%20derivations%20of%20associative%20algebras.pdf 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). http://ieeexplore.ieee.org/document/7357059/ 10.1109/ICREM.2015.7357059 |
| spellingShingle | Fiidow, Mohamed Abubakar Hagi Mohamed Rakhimov, Isamiddin Sattarovich Said Husain, Sharifah Kartini Centroids and derivations of associative algebras |
| title | Centroids and derivations of associative algebras |
| title_full | Centroids and derivations of associative algebras |
| title_fullStr | Centroids and derivations of associative algebras |
| title_full_unstemmed | Centroids and derivations of associative algebras |
| title_short | Centroids and derivations of associative algebras |
| title_sort | centroids and derivations of associative algebras |
| url | http://psasir.upm.edu.my/id/eprint/51903/ http://psasir.upm.edu.my/id/eprint/51903/ http://psasir.upm.edu.my/id/eprint/51903/ http://psasir.upm.edu.my/id/eprint/51903/1/Centroids%20and%20derivations%20of%20associative%20algebras.pdf |