By Sarah Turner
SYDNEY (MarketWatch) -- Japanese shares rose in early trading on Tuesday, as tensions between North and South Korea appeared to wane after North Korea reportedly didn't respond to a South Korean artillery test and agreed to let United Nations nuclear inspectors back into the country. The Nikkei Average index (JP:NI225 10,362, +145.66, +1.43%) rose 0.6% to 10,278.51. The dollar was buying 83.77 Japanese yen, compared to 83.38 in late North American trade on Monday.