  Entanglement is a well known fundamental resource in quantum information.
Here the following question is addressed : which are the deeper roots of
entanglement that may help in its better understanding and use ? The answer is
that one can reproduce the phenomenon of entanglement in a far more general and
simple way, a way that goes much beyond the usual one which is limited to the
framework of tensor products of vector spaces. In this general approach to
entanglement presented here - and much unlike in the particular setup of tensor
products of vector spaces - the spaces involved can be rather arbitrary sets,
just as in the case of Cartesian products. In particular, they need not even
have any algebraic structure. Thus they do not have to be vector spaces, groups
or even semigroups.
