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On Traces of Separable Simple Sub Algebras in Matrix Rings

Published online by Cambridge University Press:  20 November 2018

Takasi Nagahara  and
Seiya Yokota
Takasi Nagahara
Affiliation:
Department of Mathematics, Okayama University, Okayama 700, Japan
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Abstract

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For the trace map on an irreducible semigroup of n × n matrices over a field, I. N. Herstein presented a theorem in [3] which enables us to limit the nature of matrix groups of a certain kind. However, this is incorrect in general. For the theorem, we shall present a counter example, a revision, and some generalizations to non-irreducible semigroups.

Keywords

16H0516S50trace mapsseparable algebrasmatrix rings
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 1 , 01 March 1995 , pp. 104 - 111
Copyright
Copyright © Canadian Mathematical Society 1995

References

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