Final answer:
North Korea and South Korea each formed separate governments and both claimed the right to govern the entire Korean peninsula, with the North being communist and the South being capitalist, eventually leading to the Korean War.
Step-by-step explanation:
Following the division of Korea in 1945, North Korea and South Korea each formed two separate governments. Both the North and the South claimed the right to govern the entire peninsula. This conflict in sovereignty led to the eventual outbreak of the Korean War in 1950.
North Korea, under the leadership of Kim Il Sung and supported by the Soviet Union, established a communist regime. In contrast, South Korea, led by Syngman Rhee, operated under a more capitalistic model backed by the United States. Despite the establishment of separate governments, each faction's intention to govern the whole of Korea under their respective ideologies fueled tension and laid the groundwork for the military struggle that would ensue.