Abstract
Given a basicK-coalgebraC, we study the left Gabriel-valued quiver(QC,dC)ofCby means of irreducible morphisms between indecomposable injective leftC-comodules and by means of the powersradmof the radicalradof the categoryC-injof the socle-finite injective leftC-comodules. Connections between the valued quiver(QC,dC)ofCand the valued quiver(QC¯,dC¯)of a colocalization coalgebra quotientfE:C→C¯ofCare established.
Subject
Mathematics (miscellaneous)
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