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Please use this identifier to cite or link to this item: http://dspace.unimap.edu.my:80/dspace/handle/123456789/10269

Title: On some structural properties of diassociative algebras
Authors: Ikrom M., Rikhsiboev
Isamiddin S., Rakhimov
???metadata.dc.contributor.url???: ikromr@gmail.com
risaiddin@gmail.com
Keywords: Regional Conference on Applied and Engineering Mathematics (RCAEM);Diassociative algebras
Issue Date: 2-Jun-2010
Publisher: Universiti Malaysia Perlis (UniMAP)
???metadata.dc.publisher.department???: Institut Matematik Kejuruteraan
Citation: Vol.2(5), p. 218
Series/Report no.: Proceedings of the 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010
Abstract: 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.
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.
URI: http://hdl.handle.net/123456789/10269
Appears in Collections:Conference Papers

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