??? You seem to have not only weird definition of socialism, because it's totally not it, but even different wikipedia. Here's what it says, in the very beginning (your definition is nowhere there):

Social ownership of the means of production, as opposed to private ownership. Which is basically as broad definition as possible, everything left of succdems fit right in.

For the lulz, i searched for your definition, and it had only a single result, here. Specifically, a comment down below:

Concluding, i guess it must be true, since the well known socialist theoretician BAD BOY BUBBY said so /s