* Dollar softer after tame U.S. inflation data
* Question whether dollar short-covering letting up
* Ireland agrees to work with EU-IMF mission
By Charlotte Cooper
TOKYO, Nov 18 (Reuters) - The dollar's rally to seven-week highs stalled on Thursday after it failed at chart resistance and after subdued U.S. inflation data reinforced the Federal Reserve's case for easing, making dollar short-covering pause.
Uncertainty about Ireland's debt crisis, which also helped support the dollar recently, looked to be loosening its grip on markets after Dublin agreed to work with a European Union-IMF mission on urgent steps to shore up its shattered banking sector.
Currencies are see-sawing as year-end book-closing has prompted a lot of short-dollar positions built up over the past couple of months to unwind and as Europe's debt problems have returned to the fore, exacerbating losses in the euro.
The single currency rose above resistance around $1.3560-70 <EUR=>, pushing up as far as $1.3594, where a sustained break would signal a move up to $1.3650-70.
However failure to hold the move above $1.3560-70 could open up a retest of this week's seven-week low at $1.3446.
One trader said there were euro bids below $1.3450 but with some stop loss sell orders just below $1.3500.
"I suspect Ireland will take some sort of aid package this week or next week and that'll probably see the euro make up some gains in the near term," said Joseph Capurso, strategist at Commonwealth Bank.
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Description of EU safety net: [
]How Ireland might tap funds: [
]Euro zone debt struggles: http://r.reuters.com/hyb65p
Multimedia coverage: http://r.reuters.com/hus75h
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Still the market was subdued with plenty to keep it uncertain, with some analysts noting that even if there was a quick resolution over Ireland, the market would continue to fret about other peripheral euro zone economies and their debt levels.
In addition, speculation that China may tighten monetary policy was keeping appetite for risk subdued.
The euro rose 0.4 percent from late New York levels at $1.3589, tackling its 55-day moving average around $1.3590. Still, it is down some 5 percent from a 10-month high above $1.4280 set on Nov. 4.
U.S. core consumer inflation climbed 0.6 percent from a year ago, marking the smallest increase since records started in 1957 and arguing in favour of the Fed delivering all of its $600 billion of quantitative easing, after stronger data had fuelled doubts it would need to follow through on the entire programme.
The dollar, which gained 4 percent from a 15-year low to a high of 83.60 yen <JPY=> this month, held at 83.32 yen. There was some talk of stop loss buy orders at 83.70 yen.
Some traders say that dollar/yen could rise to around 85 yen on the back of widening in the U.S.-Japan yield gap, with which it has had a high correlation.
"On the whole, the market is still correcting its excessive expectations about the Fed's quantitative easing. It's hard to think now that the Fed will do QE III and IV after QE II," said Etsuko Yamashita, chief economist at Mitsui Sumitomo Banking Corp.
Traders also say hedge funds are likely to continue to close their dollar short positions ahead of their book-closing later in the year.
The dollar index <.DXY>, which tracks the greenback's performance against a basket of major currencies, retreated below 79.00 from a seven-week high of 79.461.
The index faces significant resistance levels up at 79.55-80.05 and while it failed there this week, a break higher would be bullish for the dollar.
The softer greenback helped the Australian dollar pop to around $0.9850 <AUD=D4>, up from this week's low around $0.9726.
But growing expectations that China, Australia's largest export market, will take steps to tackle inflation, including a rate rise as early as this week, could limit the Aussie's upside. (Additional reporting by Hideyuki Sano in Tokyo and Ian Chua in Sydney, and contributions by Reuters FX analysts Krishna Kumar in Sydney and Rick Lloyd in Singapore; Editing by Joseph Radford)