On Mar 13, 2009, at 1:09 PM, John Cremona wrote:

>
> 2009/3/13 Ralf Hemmecke <[email protected]>:
>
>> Is there a function in Sage that really behaves like mathematical  
>> equality?
>
> If you think about it, this would be rather hard to implement in
> general, in terms of complexity at least.

Indeed, it is hard to nail down what one means by equality. For  
example, is R[x] equal to R[y]. What about the commutative rings R 
[x,y] and R[y,x]. What about sparse R[x] vs. dense R[x]. Do you  
consider all vector spaces over K of the same dimension equal, or do  
they have to have a specified basis? Nailing down questions like  
these is unclear.

- Robert

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