Citizenship of the United States
A person who is considered a citizen by more than one nation has "dual citizenship". It is possible for a United States citizen to have dual citizenship; this can be achieved in various ways, such as by birth in the United States to a parent who is a citizen of a foreign country (or in certain circumstances the foreign nationality may be transmitted even by a grandparent) by birth in another country to a parent(s) who is/are a United States citizen/s, or by having parents who are citizens of different countries. Anyone who becomes a naturalized U.S. citizen is required to renounce any prior "allegiance" to other countries during the naturalization ceremony; however, this renunciation of allegiance renunciation of citizenship to those countries.
Master Nationality Rule
During the Cold War era, the United States signed consular agreements with certain Warsaw Pact countries providing that a U.S. citizen who entered that country with a U.S. passport and the appropriate visa would not be subsequently treated as a citizen of that country (and hence prevented from leaving). The Warsaw Pact countries involved (notably Poland) wished to encourage tourism from emigrants and their descendants settled in the U.S. Since the dissolution of the Warsaw Pact in 1991, many of those countries have abolished visa requirements for U.S. citizens thus nullifying those provisions (for detailed discussion see under Dual citizenship of Poland).