Tom, I think I understand your points, but I'd still like to ask you
whether you find it acceptable to have the classes I have suggested in
SymPy?


To be honest I don't really care (other than that, most of the time, new code in sympy is good news). Don't get me wrong, I'm really interested in ring theory in sympy, in fact I'm working on getting something started [1] [2]. But if your proposal is basically to change the class hierarchy *above* the current Ring class, then that's not really going to affect me, is it? As I have tried say time and again, neither will it affect your code as far as I can tell, but if you want to spend time and energy on discussing and then implementing some sort of abstract framework, be my guest.


[1] https://github.com/sympy/sympy/pull/1190
[2] https://github.com/sympy/sympy/pull/1199

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