Prime Path Coalgebras

@inproceedings{Merino2008PrimePC,
  title={Prime Path Coalgebras},
  author={Leonel Merino and Gabriel Navarro and J{\'e}sus Fern{\'a}ndez Ruiz},
  year={2008}
}
We use prime coalgebras as a generalization of simple coalgebras, and observe that prime subcoalgebras represent the structure of the coalgebra in a more efficient way than simple coalgebras. In particular, in this work we focus our attention on the study and characterization of prime subcoalgebras of path coalgebras of quivers and, by extension, of prime pointed coalgebras. It is well known that every coalgebra, with separable coradical, is Morita–Takeuchi equivalent to a subcoalgebra of a… CONTINUE READING

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