Introduction Basic definitions Triple Representation Theorem for complete effect algebras Triple Representation Theorem - general version of Jenˇ ca’s problem The solution of Jenˇ ca’s problem Main theorem Musings about Triple Representation Theorem for effect algebras Josef Niederle and Jan Paseka Department of Mathematics and Statistics Masaryk University, Brno, Czech Republic niederle,paseka@math.muni.cz Supported by FSTA 2012 January 30, 2012, Liptovsk´ yJ´ an Triple Representation Theorem