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

Duong Hoang Dung; Mai Hoang Bien

arxiv: 1212.4532 · v2 · pith:YZED7BEHnew · submitted 2012-12-18 · 🧮 math.RA

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

Mai Hoang Bien , Duong Hoang Dung This is my paper

classification 🧮 math.RA

keywords divisionkuroshringsconjectureelementsfaithgeneralizeherstein

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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 [3] and of Herstein in [6].

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

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