YES, but u need to be back in less than 6months or the Green Card wont be valid anymore,i had the same question before too
You need a Passport.
Yes, Mexico is a foreign country.
You can travel there by any means, but legally you must have a passport.
no . you don't need it.
you will need a passport
Does a Bangladesh Passport holder having USA Green Card need tourist visa for Cambodia
You may be able to obtain a passport from your country of citizenship, but not from the country that has issued you a green card: passports identify and verify citizenship. Visit your country's consulate if you're not living in your country of citizenship, or the passport office in your country of citizenship to verify your rights to a passport. It will be important to disclose that you are holding a green card from another country.
united kingdom
In order to travel to or visit the Dominican Republic, the first essential document a traveller requires is a valid passport from their home country. Other documents are secondary to the passport.
Contact the nearest branch of the embassy of the country that issued the passport. Or visit the United States Department of State, http://www.state.gov for a list of the contact information for all embassies.
One can find their last visit to the passport agency by finding the date when their passport was issued to them. This information is normally found directly on the passport.
That will depend on your own nationality and where you are initially travelling from. Contact your department of foreign affairs, or the Irish one for more information.