From: ivgroups@onlinehome.de   
      
   Hallo,   
      
   suppose there are more than one univariate or multivariate polynomials whose   
   coefficients are not all algebraic. Could their product give a polynomial   
   whose coefficients are only algebraic?   
      
   Can Dedekind's Prague theorem help here?   
      
   Thanks.   
      
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