A Prime Radical of Weakly Artinian ÃÂ©-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
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".