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On path coalgebras of quivers with relations

Pascual JaraLuis M. MerinoGabriel Navarro — 2005

Colloquium Mathematicae

The notion of the path coalgebra of a quiver with relations introduced in [11] and [12] is studied. In particular, developing this topic in the context of the weak* topology, we give a criterion that allows us to verify whether or not a relation subcoalgebra of a path coalgebra is the path coalgebra of a quiver with relations.

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