On some structural properties of diassociative algebras
1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang.
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Universiti Malaysia Perlis (UniMAP)
2010
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my.unimap-102692010-11-23T04:32:18Z On some structural properties of diassociative algebras Ikrom M., Rikhsiboev Isamiddin S., Rakhimov ikromr@gmail.com risaiddin@gmail.com Regional Conference on Applied and Engineering Mathematics (RCAEM) Diassociative algebras 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang. The paper deals with diassociative algebras (or simply dialgebras) introduced by Loday at the end of last century. The motivation to study comes from the following fact: there are links between them and classical algebras like associative, Lie algebras and recently discovered new classes of algebras named Leibniz, Zinbiel, Dendriform by Loday. As for the classical case there are well developed structural theories and appropriate results of classifications. However, for these new classes of algebras case there is no such structural results. The paper can be considered as an effort to introduce certain structural concepts and to study their properties. Here we introduce the notions of nilpotency, simplicity and study some properties of nilpotent and simple diassociative algebras. Complete classification of the so-called nullfiliform diassociative algebras over complex numbers will also be given. 2010-11-23T04:32:18Z 2010-11-23T04:32:18Z 2010-06-02 Working Paper Vol.2(5), p. 218 http://hdl.handle.net/123456789/10269 en Proceedings of the 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 Universiti Malaysia Perlis (UniMAP) Institut Matematik Kejuruteraan |
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| language |
English |
| topic |
Regional Conference on Applied and Engineering Mathematics (RCAEM) Diassociative algebras |
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Regional Conference on Applied and Engineering Mathematics (RCAEM) Diassociative algebras Ikrom M., Rikhsiboev Isamiddin S., Rakhimov On some structural properties of diassociative algebras |
| description |
1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang. |
| author2 |
ikromr@gmail.com |
| author_facet |
ikromr@gmail.com Ikrom M., Rikhsiboev Isamiddin S., Rakhimov |
| format |
Working Paper |
| author |
Ikrom M., Rikhsiboev Isamiddin S., Rakhimov |
| author_sort |
Ikrom M., Rikhsiboev |
| title |
On some structural properties of diassociative algebras |
| title_short |
On some structural properties of diassociative algebras |
| title_full |
On some structural properties of diassociative algebras |
| title_fullStr |
On some structural properties of diassociative algebras |
| title_full_unstemmed |
On some structural properties of diassociative algebras |
| title_sort |
on some structural properties of diassociative algebras |
| publisher |
Universiti Malaysia Perlis (UniMAP) |
| publishDate |
2010 |
| url |
http://dspace.unimap.edu.my/xmlui/handle/123456789/10269 |
| _version_ |
1643789796999430144 |