Is it permissible to take a small monthly sum of money in exchange for someone else working under my name?

It is not permissible to take a percentage of money in exchange for allowing someone to use your commercial registration under your name, because that falls under the category of guarantee, and it is not permissible to take financial compensation for a guarantee. This is if the official authorities allow it; otherwise, it is not permissible to lend one's name to another, even without compensation.