Geodesic
Décomposition arborescente de Mario Ouellette
Séminaire lotharingien de combinatoire, Tome 21 (1989)

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

Yeong-Nan Yeh proved the semiring (with respect to sum and product) of (isomorphism classes of) species to be factorial, more precisely isomorphic to the semi-ring of formal power series N[[M]] where M is the monoid (for .) of isomorphism classes of molecular species ([Yeh]). This amounts to saying that each species is uniquely a sum of products of atomic species. Studying also the behavior of the composition of species, Mario Ouellette ([Oue]) showed that each species has a unique decomposition as a composition of a primitive species and a molecular species: this leads to a unique "arborescent" decomposition for species. In this talk, we give a detailed demonstration of the lemma which is at the heart of his proof and a sketch his proof. 

@article{SLC_1989_21_a12,
     author = {Pierre Bouchard and Mario Ouellette},
     title = {D\'ecomposition arborescente de {Mario} {Ouellette}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {21},
     year = {1989},
     url = {http://geodesic.mathdoc.fr/item/SLC_1989_21_a12/}
}
TY  - JOUR
AU  - Pierre Bouchard
AU  - Mario Ouellette
TI  - Décomposition arborescente de Mario Ouellette
JO  - Séminaire lotharingien de combinatoire
PY  - 1989
VL  - 21
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_1989_21_a12/
ID  - SLC_1989_21_a12
ER  - 
%0 Journal Article
%A Pierre Bouchard
%A Mario Ouellette
%T Décomposition arborescente de Mario Ouellette
%J Séminaire lotharingien de combinatoire
%D 1989
%V 21
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_1989_21_a12/
%F SLC_1989_21_a12
Pierre Bouchard; Mario Ouellette. Décomposition arborescente de Mario Ouellette. Séminaire lotharingien de combinatoire, Tome 21 (1989). http://geodesic.mathdoc.fr/item/SLC_1989_21_a12/