Definitely possible as I have a friend who has been doing exacty that for a number of years. There has been a fair bit of discussion - in fact I believe one of the members here is in the same situation and was very helpful. At one time or another there was a stipulation that the woman had to be in a specific profession, however that seems to be a non-issue these days subject to a minimum salary.
Ok I just spoke to my friend, who was a little vague as it has been a while since the last time (and remember that the rules have habit of changing suddenly) but this is a summary:
- If you are working in a freezone, then as a woman you can't sponsor through the freezone, you need to go through the normal immigration channels
- You need a salary certificate from your employer - not sure what the minimum salary is AED 15,000 ?
- May need an attested degree certificate. She had issues sponsoring her daughter without it in the past
- As you will be transferring the children from the father's sponsorship, you will need a letter of no objection
- Birth certificates/Passports
- The process is very straightforward, no blood tests, go to the ladies section, the typing office will tell you what to do
Hope it all works out well for you.