Serial coalgebras and their valued Gabriel quivers

José Gómez-Torrecillas; Gabriel Navarro

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arXiv · 0707.0132

Serial coalgebras and their valued Gabriel quivers

José Gómez-Torrecillas·Gabriel Navarro

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Abstract

We study serial coalgebras by means of their valued Gabriel quivers. In particular, Hom-computable and representation-directed coalgebras are characterized. The Auslander-Reiten quiver of a serial coalgebra is described. Finally, a version of Eisenbud-Griffith theorem is proved, namely, every subcoalgebra of a prime, hereditary and strictly quasi-finite coalgebra is serial.

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José Gómez-Torrecillas, Gabriel Navarro. 2007-07-01. Serial coalgebras and their valued Gabriel quivers. https://arxiv.org/abs/0707.0132

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