On path coalgebras of quivers with relations

Pascual Jara, Luis M. Merino, and Gabriel Navarro. "On path coalgebras of quivers with relations." Colloquium Mathematicae 102.1 (2005): 49-65. <http://eudml.org/doc/284173>.

@article{PascualJara2005,
abstract = {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.},
author = {Pascual Jara, Luis M. Merino, Gabriel Navarro},
journal = {Colloquium Mathematicae},
keywords = {path coalgebras; quivers with relations; weak* topologies; pairings; basic coalgebras},
language = {eng},
number = {1},
pages = {49-65},
title = {On path coalgebras of quivers with relations},
url = {http://eudml.org/doc/284173},
volume = {102},
year = {2005},
}

TY - JOUR
AU - Pascual Jara
AU - Luis M. Merino
AU - Gabriel Navarro
TI - On path coalgebras of quivers with relations
JO - Colloquium Mathematicae
PY - 2005
VL - 102
IS - 1
SP - 49
EP - 65
AB - 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.
LA - eng
KW - path coalgebras; quivers with relations; weak* topologies; pairings; basic coalgebras
UR - http://eudml.org/doc/284173
ER -