Ah, thank you!

On Wednesday, 12 October 2022 at 23:19:09 UTC+2 David Roe wrote:

> It's the difference between conversion and coercion.
>
> P = PolynomialRing(GF(2), "z", sparse=True); Q = PolynomialRing(ZZ, "z", 
> sparse=False)
> sage: P.convert_map_from(Q)
> Conversion map:
>   From: Univariate Polynomial Ring in z over Integer Ring
>   To:   Sparse Univariate Polynomial Ring in z over Finite Field of size 2
> sage: P.convert_map_from(Q)(Q.gen())
> z
>
> David
>
> On Wed, Oct 12, 2022 at 5:15 PM 'Martin R' via sage-devel <
> sage-...@googlegroups.com> wrote:
>
>> Sorry, I don't understand your last sentence.  We have
>>
>> sage: P = PolynomialRing(GF(2), "z", sparse=True); Q = 
>> PolynomialRing(ZZ, "z", sparse=False)      
>> sage: P.has_coerce_map_from(Q) 
>> False
>>
>> How does this fit with
>>
>> "And of course you can convert even when Q is not sparse."?
>>
>> Martin
>>
>> On Wednesday, 12 October 2022 at 23:04:38 UTC+2 David Roe wrote:
>>
>>> Yes, that's expected.
>>>
>>> sage: P = PolynomialRing(GF(2), "z", sparse=True); Q = 
>>> PolynomialRing(ZZ, "z", sparse=True)
>>> sage: P.has_coerce_map_from(Q)
>>> True
>>>
>>> And of course you can convert even when Q is not sparse.
>>> David
>>>
>>> On Wed, Oct 12, 2022 at 4:58 PM 'Martin R' via sage-devel <
>>> sage-...@googlegroups.com> wrote:
>>>
>>>> I have no idea whether the following is to be expected:
>>>>
>>>> sage: P = PolynomialRing(GF(2), "z", sparse=False); Q = 
>>>> PolynomialRing(ZZ, "z") 
>>>> sage: P.has_coerce_map_from(Q) 
>>>> True 
>>>>
>>>> sage: P = PolynomialRing(GF(2), "z", sparse=True); Q = 
>>>> PolynomialRing(ZZ, "z")      
>>>> sage: P.has_coerce_map_from(Q) 
>>>> False
>>>>
>>>> Martin
>>>>
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