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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm102-1-5,
author = {Pascual Jara and Luis M. Merino and Gabriel Navarro},
title = {On path coalgebras of quivers with relations},
journal = {Colloquium Mathematicae},
volume = {103},
year = {2005},
pages = {49-65},
zbl = {1099.16004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm102-1-5}
}
Pascual Jara; Luis M. Merino; Gabriel Navarro. On path coalgebras of quivers with relations. Colloquium Mathematicae, Tome 103 (2005) pp. 49-65. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm102-1-5/