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It was known as the FR Yugoslavia / Serbia and Montenegro national basketball team until June 2006. When Serbia became independent, it became the successor state to the Serbia and Montenegro and, therefore, the results of previous state FR Yugoslavia / Serbia and Montenegro rightfully belong to it. However FR Yugoslavia / Serbia and Montenegro is not considered to be the successor of SFRY so the results before 1992 don't belong to the current team.
FR Yugoslavia (Serbia and Montenegro) (1992–2006)
Despite being a noticeably smaller country after the break of SFR Yugoslavia, the national basketball team continued to be a very competitive force in the international scene. They won a number of back to back Eurobasket championships, and World Cups. They dominated the world scene in 1990s, in generations led by players such as Vlade Divac, Peja Stojaković, Aleksandar Đorđević, Žarko Paspalj and Dejan Bodiroga, but went through a crisis in mid 2000s.