Geodesic
On Traces of Separable Simple Sub Algebras in Matrix Rings
Canadian mathematical bulletin, Tome 38 (1995) no. 1, pp. 104-111

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DOI

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.
DOI : 10.4153/CMB-1995-014-3
Mots-clés : 16H05, 16S50, trace maps, separable algebras, matrix rings 
Nagahara, Takasi. On Traces of Separable Simple Sub Algebras in Matrix Rings. Canadian mathematical bulletin, Tome 38 (1995) no. 1, pp. 104-111. doi: 10.4153/CMB-1995-014-3
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     doi = {10.4153/CMB-1995-014-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-014-3/}
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