ON SEMIGROUPS OF MATRICES WITH TRACES IN A SUBFIELD

Citation
M. Omladic et al., ON SEMIGROUPS OF MATRICES WITH TRACES IN A SUBFIELD, Linear algebra and its applications, 209, 1994, pp. 419-424
Citations number
10
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
00243795
Volume
209
Year of publication
1994
Pages
419 - 424
Database
ISI
SICI code
0024-3795(1994)209:<419:OSOMWT>2.0.ZU;2-U
Abstract
It is shown that an irreducible semigroup of n X n complex matrices wi th real spectra is simultaneously similar to a semigroup of real matri ces. Weaker results are obtained for semigroups of matrices over a gen eral field with traces in a subfield.