# Wydawnictwa / Czasopisma IMPAN / Colloquium Mathematicum / Wszystkie zeszyty

## On path coalgebras of quivers with relations

### Tom 102 / 2005

Colloquium Mathematicum 102 (2005), 49-65 MSC: 16G20, 16W30. DOI: 10.4064/cm102-1-5

#### Streszczenie

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.

#### Autorzy

Faculty of Science
Fuentenueva s//n
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• Luis M. MerinoDepartment of Algebra
Faculty of Science
Fuentenueva s//n
e-mail
• Gabriel NavarroDepartment of Algebra
Faculty of Science