You are correct. Just adding, Brazilian IP law is not similar to the american. The trademarks must be very specific and cannot be used for more than, usually, a single product. That said, you can't own a word, you can obtain exclusivity of naming a specific good (in that case, a cell phone).

I own two trademarks here and guess what, not even the domain name I managed to reclaim, the owner uses the same name for a different type of business which I don't own the exclusivity rights.

Brazilian IP law is one of the most free in the word and among many things, software cannot be patented, non-specific, generic ideas are not even evaluated for a patent. Music can be freely played and shared unless you are doing it commercially.

This is why I can't even download bass tabs on most sites, RIAA managed to block brazilians from 40% of youtube, etc.