The splitting problem for coalgebras: a direct approach
arXiv:1109.3939
Abstract
In this note we give a different and direct short proof to a previous result of Nastasescu and Torrecillas in \cite{NT} stating that if the rational part of any right module is a direct sumand in then must be finite dimensional (the splitting problem for coalgebras).
Original paper appeared in Appl. Cat. Struct. 14, no. 5-6 (2006), 599-604