On 16-Dec-09, at 5:05 PM, William Stein wrote:

> On Wed, Dec 16, 2009 at 2:04 PM, Jaap Spies <j.sp...@hccnet.nl> wrote:
>> Hasan Noori wrote:
>>>   dear sage-devel,
>>>   i'm a master student of mathematic in filed of Groebner basis
>>>   i'm coding in maple,
>>>   and have many algorithm implementation around Groebner basis
>>>   such as FGLM,F4,univariate polynomial, Buchberger with criteria,
>>> Basis of quotient ring K[x_1,...,x_n]/I,...
>>>   but i decided to coding in SAGE as Best choice for me (open  
>>> Source)
>>>   can can every one help me?
>>>
>>
>> Wecome! Yes, we all will be here to help you.
>>
>> One word of advise: if you want to be productive in Sage, learn
>> to program in Python (referring to your questions in IRC).
>>
>
> And if you want to write code that is blazingly fast, learn to program
> in Cython as well.

These two replies are rather general; here's a more specific reply.   
You could start by looking at Martin Albrecht's toy implementation of  
Buchberger with/without criteria:  
sage.rings.polynomial.toy_buchberger.  Martin might say more.

Nick

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