On computing the integral closure |
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| Authors: | Ryutaroh Matsumoto |
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| Institution: | Sakaniwa Lab., Dept. of Electrical and Electronic Engineering , Tokyo Institute of Technology , 2-12-1 Ookayama, Meguro-ku, Tokyo, 152-8550, Japan E-mail: ryutaroh@ss.titech.ac.jp |
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| Abstract: | In Hai and Thin 1
Hai , B. X. ,
Thin , N. V. On locally nilpotent subgroups of GL 1(D). Communications in Algebra 37 ( 2 ): 712 – 718 . Google Scholar]], there is a theorem, stating that every locally nilpotent subnormal subgroup in a division ring D is central (see 1
Hai , B. X. ,
Thin , N. V. On locally nilpotent subgroups of GL 1(D). Communications in Algebra 37 ( 2 ): 712 – 718 . Google Scholar], Theoerem 2.2]). Unfortunately, there is some mistake in the proof of this theorem. In this note, we give the another proof of this theorem. |
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| Keywords: | Central Locally nilpotent |
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