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Serial coalgebras and their valued Gabriel quivers
- Publication Year :
- 2007
-
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.<br />Comment: 22 pages
- Subjects :
- Mathematics - Representation Theory
Mathematics - Rings and Algebras
18E35
16W30
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.0707.0132
- Document Type :
- Working Paper