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On Traces of Separable Simple Sub Algebras in Matrix Rings
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1995
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