On path coalgebras of quivers with relations
Colloquium Mathematicum, Tome 102 (2005) no. 1, pp. 49-65.

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The notion of the path coalgebra of a quiver with relations introduced in \cite{simson1} and \cite{simson2} 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.
DOI : 10.4064/cm102-1-5
Keywords: notion path coalgebra quiver relations introduced cite simson cite simson studied particular developing topic context weak * topology criterion allows verify whether relation subcoalgebra path coalgebra path coalgebra quiver relations

Pascual Jara 1 ; Luis M. Merino 1 ; Gabriel Navarro 1

1 Department of Algebra Faculty of Science University of Granada Fuentenueva s//n 18071 Granada, Spain
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Pascual Jara; Luis M. Merino; Gabriel Navarro. On path coalgebras of quivers with relations. Colloquium Mathematicum, Tome 102 (2005) no. 1, pp. 49-65. doi : 10.4064/cm102-1-5. http://geodesic.mathdoc.fr/articles/10.4064/cm102-1-5/

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