Dear all,

I have put my code in GitHub(with some explanation of it) so that you can 
clearly see it. 

Here's a link of my code in GitHub(see the code called "Finite generated 
algebra as a ring")
Dongulas/Dongulas: Config files for my GitHub profile. 
<https://github.com/Dongulas/Dongulas/tree/main>

Best wishes,
Li Yingdong

在2022年5月17日星期二 UTC+8 21:37:06<Yingdong Li> 写道:

> Dear Travis,
>
> Thanks for your advice! The finite dimensional algebra code in Sage need a 
> multiplication table, so the second part of our code is used to find the 
> multiplication table with the basis of the algebra. And the first part of 
> our code is used to find the basis with the generators of the algebra(along 
> with a ideal of the polynomial ring). Our aim is to find the ring structure 
> of the algebra generated by a list of commuting matrices.
>
> Best wishes,
> Li Yingdong
>
> 在2022年5月15日星期日 UTC+8 11:16:24<Travis Scrimshaw> 写道:
>
>> I would advise against having it as an external package if you plan to 
>> integrate it into Sage. It further fragments the code and makes it more 
>> likely to bitrot from what I have seen. I would instead create a ticket and 
>> upload the code to that.
>>
>> Is this a finite dimensional commutative algebra? We already have finite 
>> dimensional algebras (with no assumptions, e.g., associativity) in Sage. 
>> How does your code compare with this code? Could they be combined?
>>
>> Best,
>> Travis
>>
>>
>> On Thursday, May 12, 2022 at 9:55:55 PM UTC+9 davida...@gmail.com wrote:
>>
>>> Hello,
>>>
>>> Most of the SageMath developpment is explained in this guide:
>>>
>>>       https://doc.sagemath.org/html/en/developer/index.html
>>>
>>> Also, I don't know exactly what is the scale of your code, but I would 
>>> advise you to first upload your code to Github (if it isn't already done) 
>>> as an external package. Github is very convenient for sharing code, so it 
>>> would be easier to share it with the community. Next, I think to contribute 
>>> to SageMath it is better to start with small contribution. For example, 
>>> review some tickets or fix some bugs. Then, it becomes easier to contribute 
>>> to bigger projects. 
>>>
>>> Anyway, welcome to the community and good job on your research project!
>>>
>>> David Ayotte
>>>
>>> Le jeudi 12 mai 2022 à 05:45:53 UTC-4, Yingdong Li a écrit :
>>>
>>>> Dear all,
>>>>
>>>> I have written some codes in Sage to compute the finite-dimensional 
>>>> algebra by a list of commuting matrices and I want to contribute it to 
>>>> Sage. Here is the idea of my codes.
>>>>
>>>> 1. We can construct the algebra as a quotient of a polynomial ring(by 
>>>> using the homomorphism which sends each x_i to t_i, where t_1,...,t_n is 
>>>> the n matrices generate the algebra), we can also get the basis by doing 
>>>> this.
>>>>
>>>> 2. With the basis of the algebra, we can also compute the 
>>>> multiplication table then use the finite-dimensional algebra command in 
>>>> Sage to get a description to this algebra.
>>>>
>>>> Once we have done with these things above, we can get the ring 
>>>> structure of the algebra. This is very useful in dealing with some 
>>>> problems 
>>>> about modular forms since we can further study the prime ideals or maximal 
>>>> ideals of Hecke algebra by using its ring structure.
>>>>
>>>> I'm an undergraduate student and this is part of my research project. I 
>>>> was wondering how I can contribute the codes to Sage. Could anyone give me 
>>>> some help me with this(since I'm not so familiar about the Sage trac and 
>>>> I'm not sure where I can share my codes)? Thanks in advance!
>>>>
>>>> Moreover, if you have some questions or comments on this, we can 
>>>> discuss about it here.
>>>>
>>>> Best wishes,
>>>> Li Yingdong
>>>>
>>>>
>>>>
>>>>
>>>>

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