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2014•Studia Scientiarum Mathematicarum HungaricaRequires access

On normal subgroups of division rings which are radical over a proper division subring

Mai Hoang Bien, Dung Hoang Duong

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Abstract

We introduce Kurosh elements in division rings based on the idea of a conjecture of Kurosh. Using this, we generalize a result of Faith in {xc[3]} and of Herstein in {xc[6]}.

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What this paper is about

We introduce Kurosh elements in division rings based on the idea of a conjecture of Kurosh. Using this, we generalize a result of Faith in {xc[3]} and of Herstein in {xc[6]}.

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We introduce Kurosh elements in division rings based on the idea of a conjecture of Kurosh. Using this, we generalize a result of Faith in {xc[3]} and of Herstein in {xc[6]}.

Key concepts: Subring, Mathematics, Division (mathematics), Division ring, Pure mathematics, Conjecture, Ring (chemistry), Algebra over a field

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