Serial coalgebras and their valued Gabriel quivers
Representation Theory
2016-08-14 v1 Rings and Algebras
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.
Keywords
Cite
@article{arxiv.0707.0132,
title = {Serial coalgebras and their valued Gabriel quivers},
author = {José Gómez-Torrecillas and Gabriel Navarro},
journal= {arXiv preprint arXiv:0707.0132},
year = {2016}
}
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22 pages