alexa A Prime Radical of Weakly Artinian Ω-Groups with Finite Condition is Locally Nilpotent
ISSN: 1736-4337

Journal of Generalized Lie Theory and Applications
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Research Article

A Prime Radical of Weakly Artinian Ω-Groups with Finite Condition is Locally Nilpotent

Blagovisnaya A, Pikhtilkov S* and Pikhtilkova O

Faculty of Mathematics, Orenburg State University, 13 Pobedy Avenue, 460018, Orenburg, Russia

Corresponding Author:
Pikhtilkov S
Faculty of Mathematics, Orenburg State University
13 Pobedy Avenue, 460018, Orenburg, Russia
Tel: +73532776770
E-mail: [email protected]

Received date: date: October 01, 2015; Accepted date: November 21, 2015; Published date: November 28, 2015

Citation: Blagovisnaya A, Pikhtilkov S, Pikhtilkova O (2015) A Prime Radical of Weakly Artinian Ω-Groups with Finite Condition is Locally Nilpotent. J Generalized Lie Theory Appl 9:237. doi:10.4172/1736-4337.1000237

Copyright: © 2015 Blagovisnaya A, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.



First we discuss the background of the issue to Lie algebras. We also show the relationship of our problem and A.V. Mikhalev’s problem. The main result is proved for Lie algebras. We then consider the Ω-group".


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