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

Author:

Bien Mai1,Dung Duong2

Affiliation:

1. 1 University of Architecture Department of Basic Sciences 196 Pasteur Street, District 1 HCM City Vietnam

2. 2 Universität Bielefeld Fakultät für Mathematik Postfach 100131 D-33615 Bielefeld Germany

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]}.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Reference19 articles.

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4. Free group algebras in division rings;Goncalves J. Z.;J. Algebra Comput.,2012

5. On subgroups in divi- sion rings of type 2;Bui X. H.;Studia Sci. Math. Hungar.,2012

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