[dragonwriter]

> In a socialist regime, job assignments are made by the state.

In a socialist system, the workers exercise control of the means of production, and, as a consequence, of industry.

There are models of socialism where this control is exercised centrally through the state, but it is controversial within socialism. It is widely known because a branch of socialist theory that attempted to adapt Marxist theory (itself one particular corner of socialism) to avoid capitalist development as a prerequisite was influential with groups that haf some success establishing control of various states and implemented it, but it is not the only model of socialism.

So, yes, in the USSR this is a (gross simplification of) the system, but it is not general to “socialism”.