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Jun 25, 2013 at 20:30 comment added user26857 I can't understand a word from what you say: minimal polynomial is integral? What is this supposed to mean? And again: what eigenvalues are you talking about when work with matrices over a commutative ring, not over a field?
Jun 24, 2013 at 19:43 comment added guest A is integral, if the minimal polynomial is integral. That means the eigenvalues are integral. Of course, the entries might not be integral.
Jun 24, 2013 at 7:27 comment added Gottfried Helms Hmm? Please see my "answer" for another reservation...
Jun 23, 2013 at 20:21 comment added user26857 What eigenvalues? What if the characteristic polynomial has no roots in $R$?
Jun 23, 2013 at 20:15 vote accept Milena
Jun 23, 2013 at 17:13 history answered guest CC BY-SA 3.0