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

A Blagovisnaya; S Pikhtilkov; O Pikhtilkova

doi:10.4172/1736-4337.1000237

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Home > Journals > J. Gen. Lie Theory Appl. > Volume 9 > Issue 2 > Article

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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A Blagovisnaya, S Pikhtilkov,¹ O Pikhtilkova
¹Faculty of Mathematics, Orenburg State University

J. Gen. Lie Theory Appl. 9(2): 1-2 (2015). DOI: 10.4172/1736-4337.1000237

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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, and O Pikhtilkova "A Prime Radical of Weakly Artinian Ω-Groups with Finite Condition is Locally Nilpotent," Journal of Generalized Lie Theory and Applications 9(2), 1-2, (2015). https://doi.org/10.4172/1736-4337.1000237

Published: 2015

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Vol.9 • No. 2 • 2015

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A Blagovisnaya, S Pikhtilkov, O Pikhtilkova "A Prime Radical of Weakly Artinian Ω-Groups with Finite Condition is Locally Nilpotent," Journal of Generalized Lie Theory and Applications, J. Gen. Lie Theory Appl. 9(2), 1-2, (2015)

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