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arXiv · 0802.0692

Prime path coalgebras

Pascual Jara·Luis Merino·Gabriel Navarro·Juan Francisco Ruíz
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Abstract

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.

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Pascual Jara, Luis Merino, Gabriel Navarro, Juan Francisco Ruíz. 2008-02-05. Prime path coalgebras. https://arxiv.org/abs/0802.0692

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