Hi Simon,

>> - A = some graded ring, B = some homogeneous component of A
>>    Adding elements of A and B should give an element of A
>
> Here you have a coercion from B to A, and thus no construction functor
> or pushout construction is involved.

At least in the general setting of submodules and linear subspaces,
there is such a "functorial" construction, namely SubspaceFunctor, and
it does get used in pushout constructions.  I encountered this when
looking at #10513, and this was the reason for opening #16507.

Peter

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