Geodesic
On path coalgebras of quivers with 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
Colloquium Mathematicum, Tome 102 (2005) no. 1, pp. 49-65 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 
@article{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 Mathematicum},
     pages = {49--65},
     year = {2005},
     volume = {102},
     number = {1},
     doi = {10.4064/cm102-1-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm102-1-5/}
}
TY  - JOUR
AU  - Pascual Jara
AU  - Luis M. Merino
AU  - Gabriel Navarro
TI  - On path coalgebras of quivers with relations
JO  - Colloquium Mathematicum
PY  - 2005
SP  - 49
EP  - 65
VL  - 102
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm102-1-5/
DO  - 10.4064/cm102-1-5
LA  - en
ID  - 10_4064_cm102_1_5
ER  - 
%0 Journal Article
%A Pascual Jara
%A Luis M. Merino
%A Gabriel Navarro
%T On path coalgebras of quivers with relations
%J Colloquium Mathematicum
%D 2005
%P 49-65
%V 102
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/cm102-1-5/
%R 10.4064/cm102-1-5
%G en
%F 10_4064_cm102_1_5
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

Cité par Sources :