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arxiv: 1109.3939 · v1 · pith:3KSIQOORnew · submitted 2011-09-19 · 🧮 math.RA · math.RT

The splitting problem for coalgebras: a direct approach

classification 🧮 math.RA math.RT
keywords directcoalgebrasproblemsplittingapproachcitedifferentdimensional
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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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