Irreducible morphisms, the Gabriel-valued quiver and colocalizations for coalgebras

Daniel Simson

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-16

Abstract:

Given a basic K -coalgebra C , we study the left Gabriel-valued quiver ( Q C , d C ) of C by means of irreducible morphisms between indecomposable injective left C -comodules and by means of the powers rad m of the radical rad of the category C - inj of the socle-finite injective left C -comodules. Connections between the valued quiver ( Q C , d C ) of C and the valued quiver ( Q C ¯ , d C ¯ ) of a colocalization coalgebra quotient f E : C → C ¯ of C are established.

Date: 2006
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2006/047146.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2006/047146.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:047146

DOI: 10.1155/IJMMS/2006/47146

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().