@ere
Old teacher guy is Fluder Paradyne, #1 mage in the Baharuth Empire. The skeleton is a Death Knight, a monstrously powerful undead that happens to be of the same species as the "low-level minion" Ainz creates on his first visit to Carne Village.
Another factor that prevents abusing this system is that when you die, you can only transfer the skill you were born with, not any skills that anyone else has given you. So no matter how many skills you amass during your life, only one gets passed down to the next generation. For every one...