Bill Page wrote:
> Ralf,
> 
> I think that the map
> 
>    coerce : Fraction Polynomial Complex Integer -> %
> 
> which is apparently  x+-> [x,x]
> 
> in
> 
> )sh DirectProduct(2,Fraction Polynomial Complex Integer)
> 
> should not be called a coercion.

Good spot.  AFAICS that coercion is defined because we have

    if R has SetCategory then FullyRetractableTo R

in DirectProductCategory.  IMHO this does not make sense.
But before removing it one have to fix a few places in algebra
(at least retract in SquareMatrix) where the retraction from direct
product to scalars is used.

-- 
                              Waldek Hebisch
[email protected] 

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