标题： 串余代数及其带值Gabriel图 显示英文标题

标题： Serial coalgebras and their valued Gabriel quivers

摘要： 我们通过其赋值Gabriel图来研究串行余代数。 特别是，对Hom可计算和表示方向的余代数进行了特征描述。 串行余代数的Auslander-Reiten图被描述出来。 最后，证明了一个Eisenbud-Griffith定理的版本，即每个素的、遗传的且严格准有限的余代数的子余代数都是串行的。 显示英文摘要

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.