Hi Martin,
   That is coming from this:

sage: type(m)
<class 'sage.structure.coerce_maps.DefaultConvertMap_unique'>

Although I don't think we have a specific "all morphisms should inherit 
from this ABC (or generic base class)" specification. It might be easy to 
get something to work for it.

Are you thinking of the difficulty of determining a consistent way of 
setting coercions between polynomial rings? That's the only thing I know 
that is problematic.

Best,
Travis
On Sunday, February 11, 2024 at 1:08:43 AM UTC+9 Martin R wrote:

> I was a bit surprised about the following:
>
> sage: k = ZZ["q"].hom(QQ["q"])
> sage: isinstance(k, Morphism)
> True
> sage: m = ZZ["q,t"].hom(QQ["q,t"])
> sage: isinstance(m, Morphism)
> False
>
> However, I vaguely recall a discussion about morphisms between 
> multivariate polynomial rings being problematic.  Does my memory trick me?
>
> Martin
>
>

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