Triangularization over finite-dimensional division rings using the reduced trace

نویسنده

  • Hossein Momenaee Kermani Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman
چکیده مقاله:

In this paper we study triangularization of collections of matrices whose entries come from a finite-dimensional division ring. First, we give a generalization of Guralnick's theorem to the case of finite-dimensional division rings and then we show that in this case the reduced trace function is a suitable alternative for trace function by presenting two triangularization results. The first one is a generalization of a result due to Kaplansky and in the second one a triangularizability condition which is dependent on a single element is presented.

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triangularization over finite-dimensional division rings using the reduced trace

in this paper we study triangularization of collections of matrices whose entries come from a finite-dimensional division ring. first, we give a generalization of guralnick's theorem to the case of finite-dimensional division rings and then we show that in this case the reduced trace function is a suitable alternative for trace function by presenting two triangularization results. the firs...

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عنوان ژورنال

دوره 3  شماره 2

صفحات  69- 74

تاریخ انتشار 2016-12-01

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