If I call

gameObject.active = false

from within my behavior script, does this automatically stop all running coroutines on the object?

Long winded background:

I've got a component attached to a GameObject that implements my game's rules through a series of coroutines. Essentially, it boils down to "do stuff, wait a few seconds, do more stuff".

Sometimes, I want to pause this object, run the rules on a different object, then resume the original object. I was hoping that I could achieve this by activating and deactivating the appropriate objects, but reactivating the first object doesn't resume the old coroutines.