Student or Learner
There is a equipment in the kitchen which is used to get rid of the smell of cooking！And it is fixed above the gas burner? Is it the range hood?
By the way , what is the most common name for the gas burner in British or America? Gas ring, gas cooker, gas oven, gas range? Of all the names, which one is the most used in daily life?
We'd call it a fume hood or just the fan.
Misiana is absolutely correct about BrE usage.
I have only heard of it as a range hood or exhaust fan in Canada.