Hi Nathann,

You are right. Infinite words don't belong into an algebra; you cannot
multiply them. Barring hack reasons, the change is correct.

  Best regards,
  Darij

On Sun, Jan 5, 2014 at 3:32 PM, Nathann Cohen <nathann.co...@gmail.com> wrote:
> Or possibly : you know that your algebras can break at any moment if you
> play with the wrong words, but you want to be able to define this anyway
> when you know what you are doing ?...
>
> Nathann
>
>
> On Sunday, January 5, 2014 3:30:40 PM UTC+1, Nathann Cohen wrote:
>>
>> Hellooooooooo everybody !!
>>
>> Because of broken doctests in #12867, I find myself opening the file
>> sage/categories/examples/algebras_with_basis.py, and about to do something
>> potentially .... big.
>>
>> I am about to remplace this
>> CombinatorialFreeModule.__init__(self, R, Words(alphabet), category =
>> AlgebrasWithBasis(R))
>>
>> By this:
>> CombinatorialFreeModule.__init__(self, R, Words(alphabet, infinite=False),
>> category = AlgebrasWithBasis(R))
>>
>> And I would like to know what you think of it. Because I wondered : can
>> you really define (in Sage) an algebra over (Finite+Infinite) Words, given
>> that you cannot even check whether two infinite words are ... equal ?
>>
>> This is my problem. And if there is no reason to create (in Sage) an
>> algebra over infiinite words, my problem is settled :-P
>>
>> Tell me what you think !
>>
>> Nathann
>
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