Why did Michelangelo chisel his name into the cloak of Madonna statue?

Michelangelo chiseled his name into the cloak of the Madonna statue as a form of signature and to assert his authorship over the work. This act was also a response to the criticism he faced after someone else claimed the statue as their own. By embedding his name into the statue, he aimed to ensure that his contribution would be recognized and remembered. This practice was not uncommon among artists seeking to establish their reputation in a competitive field.