Yikes, don't put a fan on your monitor!!!
I'm sure people can give you a dozen reasons to do so, or not to do so. Heat, emf, vibration and so on. But what about picture quality?
A monitor is designed to give you the best picture for the buck. All monitors. When people go down to the local monitor store, (Best Buy, Circuity City etc) they look at all the monitors and decide which looks best in the price range they can afford. All these monitors are turned on, have been running either weeks or hours if they are turned off at night, and therefor have reached their optimum operating temperature. Monitor designers design these monitors to give their best picture at these temperatures. If you add a fan and cool it down by 5-10 degrees, you'll never get the best picture from your monitor that you could.
Go down to you monitor store, and ask to see the instruction manual of a decent quality monitor. It will tell you that there is a 20-30 minute 'warm up time' until the optimal picture is obtained.
Do make sure that the vents on the monitor are not blocked. Don't put it close to a heat source. Don't artifically cool down a monitor so it can never warm up.
A decent monitor should last you 4-5years. In that amount of time, you'll be wanting it to die so you can go out and get the new 4 mega pixel flat screen for half of what you'll pay for a decent 19" monitor today.
Moohoo