Trócaire [thró-kir-e] is a word from the Irish word for 'mercy'.
There is a Roman Catholic International Charity called Trócaire.
Trócaire is also the name of a College in New York, run by nuns.
Alternatively, you may be thinking of troika. There is a form of pottery called troika ware, but troika is a Russian word and can also refer to a horse-drawn sled, a dance or a group of three leaders/judges etc (a triumvirate).
The word troika is also used for other things.
For more information on trócaire and troika, try the 'Related Links' below.