The splitting problem for coalgebras: a direct approach

Details The splitting problem for coalgebras: a direct approach The splitting problem for coalgebras: a direct approach

2011-09-19

arxiv.org/abs/1109.3939v1

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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