Is the word frigideira the same in Brazilian and European Portuguese?

Yes

The word "frigideira" has the exact same meaning, spelling, and grammatical function in both Brazilian and Continental Portuguese. The only difference lies in pronunciation. In Brazil, the vowels are generally more open and the rhythm of the word is more melodic. In Portugal, unstressed vowels are more "closed" or reduced, and the phonetic cadence follows the specific rules of European Portuguese.

Brazilian Portuguese Examples

1. Eu coloquei o ovo na frigideira. (I put the egg in the frying pan.)
2. A frigideira está muito quente! (The frying pan is very hot!)
3. Preciso comprar uma frigideira antiaderente. (I need to buy a non-stick frying pan.)
4. Você limpou a frigideira depois de usar? (Did you clean the frying pan after using it?)
5. Coloque um pouco de manteiga na frigideira. (Put a little butter in the frying pan.)

Continental Portuguese Examples

1. Estou a fritar um ovo na frigideira. (I am frying an egg in the pan.)
2. Cuidado, que a frigideira está a aquecer. (Careful, the pan is heating up.)
3. Acabei de comprar uma frigideira nova. (I have just bought a new pan.)
4. Tens de lavar bem a frigideira. (You have to wash the pan well.)
5. Põe a manteiga na frigideira. (Put the butter in the pan.)