Re: Paying tax in Ireland but living in another EU country
This is a fairly complex area and professional advise might well be warranted. However, from my limited understanding, I don't think that there is any facility that would allow you to live (e.g. in Germany) and simply elect to pay your tax in Ireland to take advantage of the low corp tax rates here.
Note that if you move from Ireland to Germany, I think that you continue to be tax resident here for 2 or 3 years, so you may be able to do something like this in the short-term. But my knowledge in this area is not reliable.