What I meant was, obviously, that commons are not internally divided, otherwise they would not be commons.
Yes, commons have historically been managed, or should I say coordinated [1], more or less explicitly, exactly so as to avoid the tragedy of unmanaged commons. The environmental awakening in the 20th century was a response to several tragedies of commons hitherto unmanaged, and these tragedies were partially mitigated by nation state level coordination. A couple of decades later humanity succeeded in solving the first truly global tragedy of commons in the history, the depletion of the ozone layer. But that was a relatively easy problem to solve compared to carbon emissions.
[1] https://slatestarcodex.com/2014/07/30/meditations-on-moloch/