There is a problem in current algebra that FreeModule over
field is not a VectorSpace. Looking at resolution of this
the simplest way seem to be deletion of VectorSpace.
Namely, VectorSpace adds one signature that is 'dimension'
that makes sense also for FreeModule. ATM I am not sure
if we want to require FreeModule to have 'dimension'
but I see no reason to put such requirement of VectorSpace
too ('dimension' is somewhat periperial to other properties).
Once we ignore 'dimension' there is reason to use VectorSpace:
FreeModule over a field have needed properties. And VectorSpace
is almost unused, few domains assert it, nothing in algebra
seem to use it. That is why deleting VectorSpace seem to
be the best solution.
--
Waldek Hebisch
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