There are two main types of nail polish removers, and depending on which type are you taking on the plane - it would be denied by airport security or not.
The first type is the acetone one. If your nail polish remover is made of aceton - it you cannot bring it on an airplane. This is because aceton is flammable and these kind of items
are strictly prohibited to take on a plane in both carry on luggage and checked luggage. Sometimes instead of Aceton the bottle contains ethyl acetate - this substance is also highly flammable and
security rules also apply to this kind of nail polish remover. Check a label on the bottle and try to find a flammable sign on it - if it's there, this kind of remover is not allowed to take on a plane, if it's not there
you can take this particular nail polish remover in your checked luggage and in you cabin bag (if it's less then 100 ml or equal).