[answered] The author's name does not appear first.

[Sol]

I have seen that in some of the books with more published editions the name of the author does not appear at the beginning, but the name of the adapter.
Is this correct?

Examples:
The Hobbit
https://www.goodreads.com/book/show/6...

A wizard of Earthsea
https://www.goodreads.com/book/show/9...

Dragonfligh
https://www.goodreads.com/book/show/6...

[Scott]

Yes, this is to prevent adaptations from being combined with the original work.