Irreducible morphisms, the Gabriel-valued quiver and colocalizations for coalgebras
Given a basic K-coalgebra C, we study the left Gabriel-valued quiver (QC,dC) of C by means of irreducible morphisms between indecomposable injective left C-comodules and by means of the powers radm of the radical rad of the category C-inj of the socle-finite injective left C-comodules. Connections b...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/47146 |
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| Summary: | Given a basic K-coalgebra C, we study the left Gabriel-valued quiver (QC,dC) of C by means of irreducible morphisms between indecomposable injective left C-comodules and by means of the powers radm of the radical rad of the category
C-inj of the socle-finite injective left C-comodules.
Connections between the valued quiver (QC,dC) of C and the valued quiver (QC¯,dC¯) of a colocalization coalgebra quotient fE:C→C¯ of C are established. |
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| ISSN: | 0161-1712 1687-0425 |