In The Lord of the Rings, Sauron's The One Ring has an inscription in it. It's revealed by exposing the ring to fire. The inscription describes the ring's purpose and power. However, this was not the only Ring of Power that was forged. The Elves made 3, 9 were made for humans, and 7 were made for Dwarves. Did these rings also have inscriptions?
As far as we know, no other ring was inscribed
Note that all rings were made by the Elves for their own usage, it is Sauron who gave them to the other races to corrupt them.
The Elves' ones, the only which were saved from Sauron, were the more powerful ones and the only adorned with jewels. The others were mere prototypes and the fact that they had different effects on Man or on Dwarves is due to each race particular nature rather than to any deliberated design.
Taking other forms of fantasy and spellmaking, Inscriptions are commonly used to bind a spell to an item (considered an incantation that, by being written, persists).
Since the other rings were rings of power in their own right, it stands to reason that those rings would have inscriptions as well to designate and bind their powers to them.
I, of course, have not found any canonical explanation for this, but it would make sense given the generally accepted notion of magical inscriptions.