Roman empire vs Rome city
I think in the following sentence the first "Rome" can mean "Roman Empire" but the second "Rome" means "Rome city". Am I right?

Sentence:
Presentations of military success in Rome also derive from Greek and Hellenistic models. The ten-metre-wide marble Ara Pacis Augustae (13–9 bc) in Rome commemorates the pacification of Spain and Gaul (France).

Question

Roman empire vs Rome city
I think in the following sentence the first "Rome" can mean "Roman Empire" but the second "Rome" means "Rome city". Am I right?

Sentence:
Presentations of military success in Rome also derive from Greek and Hellenistic models. The ten-metre-wide marble Ara Pacis Augustae (13–9 bc) in Rome commemorates the pacification of Spain and Gaul (France).

Answer

That seems correct to me.

Answer

Yes,you are right.
Ara Pacis Augustae is located in Rome-the capital of Italy-near RIONE II TREVI.