  A recent general model of entanglement, [5], that goes much beyond the usual
one based on tensor products of vector spaces is further developed here. It is
shown that the usual Cartesian product can be seen as two extreme particular
instances of non-entanglement. Also the recent approach to entanglement in [8]
is incorporated in the general model in [5]. The idea pursued is that
entanglement is by now far too important a phenomenon in Quantum Mechanics, in
order to be left confined to its present exclusive modelling by tensor
products. Once this is realized, it turns out that one can quite easily
de-entangle entanglement from tensor products, and in fact, one can do so in a
large variety of ways. Within such general settings the issue of entanglement
becomes connected with the issue of "System versus Subsystem" in General
Systems Theory, where synthesizing subsystems into a system may often be less
difficult than identifying subsystems in a system.
