When I say "company" I mean such an organisation as which employs wage labour to further the accumulation of capital; such an organisation could not exist under a Socialist mode of production, at least in my understanding. This is because it is firstly not wholly the "property" of the workers in general, because accumulation of capital requires exploitation and value added through M-C-M'; a cooperative still sells produce, so in my view this makes it inadequate for Socialism. Perhaps something like mutualism would better describe such an arrangement at the scale of a society.

It is entirely possible for people to create a super-capitalist, an image reflecting bourgeois nature, within a cooperative establishment.