Hi all,

I am having a bit of a hard time wrapping my head around how I am supposed 
to define the basis keys that are required for creating a combinatorial 
free module.

The kind of basis keys with which I would like to label the basis of my 
free module is the set of "all tuples, of any length, of elements in some 
set S".
So for example, if the set is S = { 1, 2 }, then the set of tuples would 
contain
(), (1,), (2,), (1,2), (2,1), ... and so on.

Is there an easy way to define such a set of tuples?

The actual sets S that I would like to work with are a bit more complicated 
than the one above, in particular they have an ordering and it would be 
nice to be able to check if the sequence of elements in a tuple is in 
order. Also the sets S need not be finite.
Any help and pointers to helpful documentation would be greatly appreciated.

Best,
Simon

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