#10960: Better product error messages when can't multiply
--------------------------------+-------------------------------------------
   Reporter:  kcrisman          |       Owner:  AlexGhitza                      
            
       Type:  defect            |      Status:  new                             
            
   Priority:  minor             |   Milestone:                                  
            
  Component:  basic arithmetic  |    Keywords:  multiply, arithmetic, coercion, 
incompatible
     Author:                    |    Upstream:  N/A                             
            
   Reviewer:                    |      Merged:                                  
            
Work_issues:                    |  
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 See #10683, where the following less-than-helpful message was discovered.
 {{{
 sage: k.<b> = FiniteField(9); k
 Finite Field in b of size 3^2
 sage: vector([1,i]).dot_product(vector(k,[1,b]))
 ---------------------------------------------------------
 ArithmeticError:
 }}}
 Of course you can't multiply elements of the symbolic ring and this finite
 field.  But if this happened buried deep in some other code, it could take
 a long time to track down.

 This actually happens when you just multiply as well, unsurprisingly, so
 that's where it would have to be caught.
 {{{
 sage: k.<b> = FiniteField(9)
 sage: i*b
 <boom>
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10960>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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