That is the common view of the situation, but I particularly find it somehow simplistic and biased. The reality is that there was a lot of pressure from the corporate interest on norther European countries to have the club med nations added to the Euro. Their newly high value currency and vast borrowing power meant that Greeks, Portuguese and irish were all of a sudden more inclined to buy Mercedes Benz, Ikea Furniture and spend vacation in the Swiss Alps.
It was a very clever way for northern European corporations to sell stuff to the south at credit, but have the northern tax payer assume the risk. The Euro was one of the largest corporate welfare programs in modern history.