On path coalgebras of quivers with relations

Volume 102 / 2005

Pascual Jara, Luis M. Merino, Gabriel Navarro Colloquium Mathematicum 102 (2005), 49-65 MSC: 16G20, 16W30. DOI: 10.4064/cm102-1-5

Abstract

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.

Authors

  • Pascual JaraDepartment of Algebra
    Faculty of Science
    University of Granada
    Fuentenueva s//n
    18071 Granada, Spain
    e-mail
  • Luis M. MerinoDepartment of Algebra
    Faculty of Science
    University of Granada
    Fuentenueva s//n
    18071 Granada, Spain
    e-mail
  • Gabriel NavarroDepartment of Algebra
    Faculty of Science
    University of Granada
    Fuentenueva s//n
    18071 Granada, Spain
    e-mail

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