序列余代数及其赋值Gabriel箭图
Serial coalgebras and their valued Gabriel quivers
摘要：
利用序列余代数的值Gabriel箭图研究了序列余代数。特别地，Hom-可计算和表示定向余代数的特征。描述了序列余代数的Auslander-Reiten代数。最后证明了Eisenbud-Griffith定理的一个版本，即一个素的、遗传的、严格拟有限的余代数的每个子余代数都是序列的。
英文摘要：
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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