It's better to work with a nice category containing some nasty objects, than a nasty category containing only nice objects.

When somebody says to me-which they do like every 5 years- "How does it feel to be over the hill?" my response is, "I'm just heading up the mountain."

Why speculate when you can calculate?

Any effect, constant, theorem or equation named after Professor X was first discovered by Professor Y , for some value of Y not equal to X.

It's better to work with a nice category containing some nasty objects, than a nasty category containing only nice objects.

... commutative algebra is a lot like topology, only backwards.