The following quote is from Everett C. Dade article on Group-Graded Rings and Modules:

One of the guiding principles of modern mathematics is that the main difficulty in any subject should be to find the right way to look at it. Once this proper viewpoint is found the theorems become obvious and their proofs routine if not trivial. Make the right definitions and the rest will take care of itself.

Nuff said. :-)