In Aramaic and Hebrew it also appears as Rimmon, and the Akkadians sometimes wrote Rammanu.
Wikipedia lists more titles for the same god: "Rimon/Rimmon, Pidar, Rapiu, Baal-Zephon, or often simply Baʿal (Lord)".
It names Hadad as the god of the Arameans and pairs him with Rimmon.
Rimmon is the god himself, and the Bible mentions his house.
when my master goeth into the house of Rimmon to worship there, and he leaneth on my hand, and I bow myself in the house of Rimmon
Naaman does not say Rimmon is false.
He asks the LORD to forgive him for bowing in Rimmon's house.
Others suspected that Hadad-rimmon was a dying and rising god, like Adonis or Tammuz.
My pages on Elohim and The Gods in the Bible follow that trail, and the second one lists Hadad under his Aramean name, Rimmon.
Rimmon: This deity was often equated with Hadad and represented similar attributes as a weather god, invoked for agricultural fertility and favorable climate.
2500 BCE) as Hadda, and in Aramaic regions as the chief god of Damascus (often called Rimmon or Ramman, meaning "thunderer").