On Monday, February 29, 2016 at 1:48:11 PM UTC+1, shubham tibra wrote:
>
> I looked at both the methods for addition algorithm( using Euclidean 
> algorithm for computing LCLM, or making an ansatz and converting it into a 
> linear system and then solving).
> But the Ore algebra method will also require a class representing rings 
> and some basic functions like getting parent ring, generators of the ring. 
> Does Sympy have support for rings or Do we need to create a class for rings.
>

This isn't required. You could just work with SymPy expressions with a 
distinguished symbol, e.g. x is the distinguished symbol of the 
differential operator Dx.

You might be able to use SymPy's polys as well, though I think you do need 
at least rational functions to do certain things conveniently (not sure how 
well supported this is in SymPy).

Fredrik

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