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Abstract: We use prime coalgebras as a generalization of simple coalgebras, and observethat prime subcoalgebras represent the structure of the coalgebra in a moreefficient way than simple coalgebras. In particular, in this work we focus ourattention on the study and characterization of prime subcoalgebras of pathcoalgebras of quivers and, by extension, of prime pointed coalgebras.

Author: Pascual Jara, Luis Merino, Gabriel Navarro, Juan Francisco Ruíz


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