text rewording (2)
> The channel name is a unique identifier of your channel on this and all the other instances.
this is true if we consider "cats@domain.com" as "a channel". If by "a channel" you only mean "cats" then the text needs to be changed to something like:
> The channel name is a unique identifier of your channel on this instance. Together with the domain name - it becomes unique across all instances.
In any case, English native speakers I'm open to suggestions on how to improve this :)