You say "identify itself on the network", but actually doing this is harder than you think. Windows machines use the SMB protocol to do this, and this is not found on any other OS. Well, not completely true, because as Argo and thorrin pointed out, you can install Samba, a third party SMB server. This will allow you Amiga to share files and printers with the PCs and will also show itself on the network, just like a Windows machine.
www.amigasamba.org has the package, and detailed installation instructions.