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Kucherov A.A., Pikhtilkov S.A., Pikhtilkova O.A. ON THE HOMOLOGOUS DESCRIPTION OF LOCALLY NILPOTENT RADICAL FOR THE SPECIAL ALGEBRAS OF LEE.In the work the authors discussed the possibility of determining the locally nilpotent radical of the special algebra of Lee in the form the intersection of the nuclei of irreducible ideas, irreducible PI-ideas and finite-dimensional irreducible ideas. It is shown that the locally nilpotent radical of the special algebra of Lee above the field of characteristic zero is contained into the intersections of the nuclei of irreducible PI-ideas and this part is strict. Key words: Lee's algebra, PI-idea, irreducible idea, locally nilpotent radical.
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About this article
Authors: Pihtilkov S.A., Pihtilkova O.A., Kucherov A.A.
Year: 2010
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Editor-in-chief |
Sergey Aleksandrovich MIROSHNIKOV |
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