Mathematics – Rings and Algebras
Scientific paper
2011-09-19
Appl. Cat. Struct. 14, no. 5-6 (2006), 599-604
Mathematics
Rings and Algebras
Original paper appeared in Appl. Cat. Struct. 14, no. 5-6 (2006), 599-604
Scientific paper
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 $C^*$ module $M$ is a direct sumand in $M$ then $C$ must be finite
dimensional (the splitting problem for coalgebras).
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