Sooo... what happens if you somehow make an enchanted ring to increase the Enchantment skill to make a more powerful enchanted ring to increase the Enchantment skill...? Cats and dogs living together? Mass hysteria?
You can do it with Enchantment+Alchemy, each recursively enhancing the other. But diminishing returns and rounding results in this maxing out after 3 or 4 cycle I think.