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2015 A Prime Radical of Weakly Artinian Ω-Groups with Finite Condition is Locally Nilpotent
A Blagovisnaya, S Pikhtilkov, O Pikhtilkova
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J. Gen. Lie Theory Appl. 9(2): 1-2 (2015). DOI: 10.4172/1736-4337.1000237

Abstract

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 $\Omega $-group".

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A Blagovisnaya. S Pikhtilkov. O Pikhtilkova. "A Prime Radical of Weakly Artinian Ω-Groups with Finite Condition is Locally Nilpotent." J. Gen. Lie Theory Appl. 9 (2) 1 - 2, 2015. https://doi.org/10.4172/1736-4337.1000237

Information

Published: 2015
First available in Project Euclid: 2 February 2016

zbMATH: 06538948
MathSciNet: MR3642248
Digital Object Identifier: 10.4172/1736-4337.1000237

Keywords: $\Omega $-group , Locally nilpotent lie algebra , Prime radical of a lie algebra , Weakly artinian lie algebra

Rights: Copyright © 2015 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

Vol.9 • No. 2 • 2015
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