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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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Bibliographic Details
Main Authors: Ikrom M., Rikhsiboev, Isamiddin S., Rakhimov
Other Authors: ikromr@gmail.com
Format: Working Paper
Language:English
Published: Universiti Malaysia Perlis (UniMAP) 2010
Subjects:
Regional Conference on Applied and Engineering Mathematics (RCAEM)
Diassociative algebras
Online Access:http://dspace.unimap.edu.my/xmlui/handle/123456789/10269
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spelling 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
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Regional Conference on Applied and Engineering Mathematics (RCAEM)
Diassociative algebras
spellingShingle 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
score 13.214268

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