On 02.04.2012 15:30, Sergiu Ivanov wrote:
In conclusion, I cannot see how my ideas fundamentally contradict the
approaches evoked in this thread.  Therefore, I will try to pose the
dual question: do you think the current Ring class is well-suited for
a future implementation of ring theory?  I hope a definite answer to
this question will be more reachable :-)


I think the only reasonable answer is "yes, but ...".

The real problem with this discussion is, imho, that you are trying to propose a "perfect" framework, without any specific examples to test "perfectness" against. No matter how much we talk this over, trying to design code for such a complex system (at least "all of ring theory", you seem to have even more in mind) on the drawing board is futile (in my opinion).

Moreover, this proposal seems embedded in your gsoc plans, where it really does not fit: there is no need or justification for trying to write a "perfect, all-encompassing object oriented framework" in order to implement the groebner walk stuff (at the most, I think, this requires a very specialised framework - most of which I believe can already be found in domains/).

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