Is it possible to buy the authorship of a piece of software just to be able to remove the credits from its source ccode?
Would that be ok if the author of the library agrees to do so for a price?
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You don't need to buy the complete copyright. You just need to ask the author to license it to you under different conditions which do not require an attribution.
But keep in mind that in order to do that, the author needs to actually own the complete copyright. That means when they used any code from 3rd parties, these parties must also agree to it (when they haven't waived those rights through a contributors agreement).
You could simply buy the copyright from the authors. At that point, it's your software and you can do what you like with it. You could even stop distributing it under the MIT license, though you couldn't recall any copies already distributed.
Or you could negotiate a different license with the authors. It's then between you and them to agree on whatever licence you both agree to. This would be a form of dual-licensing.