It depends on which country, there were multiple attempts, there is no "one" communism, but generally "NO".
The USSR after the revolution was literally called the Soviet Union. A "soviet" is a council elected by workers. Basically workers would own the means of production through soviets, and they would join together as a larger governing body. Unfortunately, the autocrats and populists took control and killed everyone; or as in Russia, illness also helped kill the vast majority of able-bodied people which really screwed their production. But I'm WAY oversimplifying.
In Soviet Union considerable part was in cooperation. And more in Stalin era then later.
Citing Russian wikipedia:
> By the end of the 1950s, there were more than 114 thousand workshops and other industrial enterprises in its system, where 1.8 million people worked. They produced 5.9 % of the gross industrial output, for example, up to 40 % of all furniture, up to 70 % of all metal utensils, more than a third of upper knitwear, almost all children's toys. The system of commercial cooperation included 100 design bureaus, 22 experimental laboratories and two research institutes.
China is capitalism all the way now.
IDK about North Korea but they don't seems like a "communist country" for me.
No, most “communist” countries (and I use the term loosely because really they were just state capitalist) owned many different companies, rather than being part of one mega government corporation.
Its all a spectrum but I think in practice the above statement is meaningful.
In the USSR the government set ranges of wages that different firms/administrators could give out. I guess in practice you had some choice but not if you had one entity with practically unlimited negotiating power.
There were political differences, though. At least in the Czechoslovak Socialist Republic where I grew up.
First of all, there were some collectively owned enterprises (cooperatives), which were a tiny bit more independent than directly state owned business. They could deviate a little from the strict, centrally directed price and wage norms etc.
Second, even in the state owned sector, there was some diversity among political attitudes. Some directors were more pragmatic and would be willing to employ even people whose cadre record was tainted (e.g. a relative defected to the West). Some directors were hardcore Communists who would never tolerate suspicious or politically unreliable characters in their workforce.
Finding a job if you were deemed politically unreliable was a big deal, because being jobless for a certain period of time was a crime punishable by prison. (Parasitism.)
I'd just like to interject for a moment. What you're referring to as "communist" countries are in fact, Marxist-Leninist, or as I've recently taken to calling them, "state capitalist"
It varied wildly as communist countries tried every trick on the table to keep their economies from dying every few years, but the essence was that none of them really worked before most minimal forms of private property, and enterprise was allowed.